Pith Number

pith:6VZDOD77

pith:2011:6VZDOD77EJHUGGNUJI6V5YK7KO

not attested not anchored not stored refs pending

The Two-Square Lemma and the connecting morphism

Yaroslav Kopylov

arxiv:1103.5251 v1 · 2011-03-27 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6VZDOD77EJHUGGNUJI6V5YK7KO}

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	2026-05-18T04:25:38.352798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f572370fff224f4319b44a3d5ee15f538f3df97273772197bdafd7a48e25bb17

Aliases

arxiv: 1103.5251 · arxiv_version: 1103.5251v1 · doi: 10.48550/arxiv.1103.5251 · pith_short_12: 6VZDOD77EJHU · pith_short_16: 6VZDOD77EJHUGGNU · pith_short_8: 6VZDOD77

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/6VZDOD77EJHUGGNUJI6V5YK7KO \
  | 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: f572370fff224f4319b44a3d5ee15f538f3df97273772197bdafd7a48e25bb17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c676415a4c131b6822549af068d335b06dff2faef4a80334c965a5727a2d891f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2011-03-27T21:24:59Z",
    "title_canon_sha256": "c51a97ff85f2926650b2f098a731645148f33939b22ca2201be7eabd78c24c66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5251",
    "kind": "arxiv",
    "version": 1
  }
}