Pith Number

pith:2Z3KTPL3

pith:2012:2Z3KTPL3LG4OLVOW5FIQKNJFVW

not attested not anchored not stored refs pending

The supports of higher bifurcation currents

Romain Dujardin

arxiv:1202.3249 v1 · 2012-02-15 · math.DS · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2Z3KTPL3LG4OLVOW5FIQKNJFVW}

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	2026-05-18T04:02:14.292053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d676a9bd7b59b8e5d5d6e951053525ad9797bc9c92c4a11db86805cdc741833d

Aliases

arxiv: 1202.3249 · arxiv_version: 1202.3249v1 · doi: 10.48550/arxiv.1202.3249 · pith_short_12: 2Z3KTPL3LG4O · pith_short_16: 2Z3KTPL3LG4OLVOW · pith_short_8: 2Z3KTPL3

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/2Z3KTPL3LG4OLVOW5FIQKNJFVW \
  | 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: d676a9bd7b59b8e5d5d6e951053525ad9797bc9c92c4a11db86805cdc741833d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6d6a7ee3a81ae7d7be0929017606f3c1a04ced339b86c8895da3f4822c419e0",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-02-15T09:45:15Z",
    "title_canon_sha256": "0c73dd56320a94b22c76fa622c63c1900b9a442cc382cddb0d401689965f95f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3249",
    "kind": "arxiv",
    "version": 1
  }
}