Pith Number

pith:4NBXP3ET

pith:2012:4NBXP3ETEISK2XU3IC4XSRR3Y4

not attested not anchored not stored refs pending

Topological Birkhoff

Manuel Bodirsky, Michael Pinsker

arxiv:1203.1876 v2 · 2012-03-08 · math.LO · cs.CC · cs.LO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4NBXP3ETEISK2XU3IC4XSRR3Y4}

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	2026-05-18T03:39:28.816919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e34377ec932224ad5e9b40b979463bc7369bca12a3e5274c61604159ae18937c

Aliases

arxiv: 1203.1876 · arxiv_version: 1203.1876v2 · doi: 10.48550/arxiv.1203.1876 · pith_short_12: 4NBXP3ETEISK · pith_short_16: 4NBXP3ETEISK2XU3 · pith_short_8: 4NBXP3ET

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/4NBXP3ETEISK2XU3IC4XSRR3Y4 \
  | 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: e34377ec932224ad5e9b40b979463bc7369bca12a3e5274c61604159ae18937c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b13da85f84f9a7696b753a534eb305e222626b092fd7608955638288f0631188",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.LO",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-03-08T18:26:42Z",
    "title_canon_sha256": "623f35e44e7f93036099bb8af1bc4a37b047715424f1ae14fe7c78c2f0b5f6db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1876",
    "kind": "arxiv",
    "version": 2
  }
}