Pith Number

pith:ENC6ZH4C

pith:2014:ENC6ZH4CDKX22DBAOGIWSP34WX

not attested not anchored not stored refs pending

The fundamental groupoid as a terminal costack

Ilia Pirashvili

arxiv:1406.4419 v1 · 2014-06-17 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ENC6ZH4CDKX22DBAOGIWSP34WX}

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	2026-05-18T02:49:37.620266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2345ec9f821aafad0c207191693f7cb5f663a417eef9bbb98eb3348abee4ecbc

Aliases

arxiv: 1406.4419 · arxiv_version: 1406.4419v1 · doi: 10.48550/arxiv.1406.4419 · pith_short_12: ENC6ZH4CDKX2 · pith_short_16: ENC6ZH4CDKX22DBA · pith_short_8: ENC6ZH4C

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/ENC6ZH4CDKX22DBAOGIWSP34WX \
  | 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: 2345ec9f821aafad0c207191693f7cb5f663a417eef9bbb98eb3348abee4ecbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8652ff28719c10e8eaa1aa196514da0b56e03e4e4441c4b527e9301a9302917",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-06-17T16:41:49Z",
    "title_canon_sha256": "c3f9949bcdf7d27557e03c033b8141d31438d4e26983a0360ebb404fca3382fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.4419",
    "kind": "arxiv",
    "version": 1
  }
}