Pith Number

pith:FN2NQT5H

pith:2014:FN2NQT5HRPYU2QNIDRTUSMALRT

not attested not anchored not stored refs pending

Colimits of abelian groups

Cihan Okay

arxiv:1404.3781 v3 · 2014-04-14 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FN2NQT5HRPYU2QNIDRTUSMALRT}

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	2026-05-18T01:35:43.674411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b74d84fa78bf14d41a81c6749300b8ccd0a475c8c39427f148172325a3cc94e

Aliases

arxiv: 1404.3781 · arxiv_version: 1404.3781v3 · doi: 10.48550/arxiv.1404.3781 · pith_short_12: FN2NQT5HRPYU · pith_short_16: FN2NQT5HRPYU2QNI · pith_short_8: FN2NQT5H

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/FN2NQT5HRPYU2QNIDRTUSMALRT \
  | 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: 2b74d84fa78bf14d41a81c6749300b8ccd0a475c8c39427f148172325a3cc94e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ead19f829da85894bea6a955328a3bc5751d4061a67417b6f16db57798b7d3ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-04-14T23:59:19Z",
    "title_canon_sha256": "05f1db4b01a24e1bbe2a62206bc226241fa73805af81fd57ec6ce48c9fc9fd4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.3781",
    "kind": "arxiv",
    "version": 3
  }
}