Pith Number

pith:DK6LE3B6

pith:2026:DK6LE3B6KEMVGXPPUCATUU4YY6

not attested not anchored not stored refs pending

Topological Signatures of Imperial Collapse and Fragmentation: Administrative Dissolution, Territorial Reorganization and Early-Warning Observables in the Han Dynasty Network (206~BCE\,--\,220~CE)

Carlos Pinedo Guadarrama, David Delepine, Jose de Jesus Bernal-Alvarado

arxiv:2607.09010 v1 · 2026-07-10 · physics.soc-ph · physics.ed-ph · physics.hist-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DK6LE3B6KEMVGXPPUCATUU4YY6}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-13T00:17:34.194752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1abcb26c3e5119535defa0813a5398c7a48201523a1d7fea0b5796dd6757fcfe

Aliases

arxiv: 2607.09010 · arxiv_version: 2607.09010v1 · doi: 10.48550/arxiv.2607.09010 · pith_short_12: DK6LE3B6KEMV · pith_short_16: DK6LE3B6KEMVGXPP · pith_short_8: DK6LE3B6

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/DK6LE3B6KEMVGXPPUCATUU4YY6 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 1abcb26c3e5119535defa0813a5398c7a48201523a1d7fea0b5796dd6757fcfe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94daf0417c319ab4638921f3b1c4bdb5dd9604b8e75e9e2cbde1e2684382fc67",
    "cross_cats_sorted": [
      "physics.ed-ph",
      "physics.hist-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2026-07-10T00:28:23Z",
    "title_canon_sha256": "0fa557abfe8566e096f4ef34f3a6b29f10b595e14feef046f1777414b4c9a281"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09010",
    "kind": "arxiv",
    "version": 1
  }
}