Pith Number

pith:BKJRAF4N

pith:2010:BKJRAF4NTS44USHT4CHFZ6AVHC

not attested not anchored not stored refs pending

Dynamics, Spectral Geometry and Topology

Dan Burghelea

arxiv:1012.5853 v1 · 2010-12-28 · math.DS · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BKJRAF4NTS44USHT4CHFZ6AVHC}

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	2026-05-18T02:04:17.038333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a9310178d9cb9ca48f3e08e5cf81538b73471a4a6995526e50acc0a7768e482

Aliases

arxiv: 1012.5853 · arxiv_version: 1012.5853v1 · doi: 10.48550/arxiv.1012.5853 · pith_short_12: BKJRAF4NTS44 · pith_short_16: BKJRAF4NTS44USHT · pith_short_8: BKJRAF4N

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/BKJRAF4NTS44USHT4CHFZ6AVHC \
  | 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: 0a9310178d9cb9ca48f3e08e5cf81538b73471a4a6995526e50acc0a7768e482

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c4afd86732211696f1160ccffaf89f075091b36349345c0145c60fb79777960",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-12-28T23:23:10Z",
    "title_canon_sha256": "0b8630f65aaeb94cafd15a2db7a47a56344a6e8230a022a6c444c79bf06051d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5853",
    "kind": "arxiv",
    "version": 1
  }
}