Pith Number

pith:5UKWHHY4

pith:2025:5UKWHHY4IQLVNAY4Y7VIP4XX7A

not attested not anchored not stored refs pending

The Realization of 3D Topological Spaces Branched Over Graphs

Christopher L Duston

arxiv:2508.09026 v1 · 2025-08-12 · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5UKWHHY4IQLVNAY4Y7VIP4XX7A}

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	2026-07-05T11:52:38.504485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed15639f1c441756831cc7ea87f2f7f832bb215dd22dc8167a012436b527ae3e

Aliases

arxiv: 2508.09026 · arxiv_version: 2508.09026v1 · doi: 10.48550/arxiv.2508.09026 · pith_short_12: 5UKWHHY4IQLV · pith_short_16: 5UKWHHY4IQLVNAY4 · pith_short_8: 5UKWHHY4

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/5UKWHHY4IQLVNAY4Y7VIP4XX7A \
  | 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: ed15639f1c441756831cc7ea87f2f7f832bb215dd22dc8167a012436b527ae3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3e71277afb1a29f2e27a81992ee3a5e6f85da5b5a53b9bfcbc4b889d84c3104",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-08-12T15:42:12Z",
    "title_canon_sha256": "898f26f64ca146633960033eb462efe2b56ad7ec36f1d716f19cda724c4ed1bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.09026",
    "kind": "arxiv",
    "version": 1
  }
}