Pith Number

pith:55K7WQII

pith:2012:55K7WQIIGKCJDWKG6NEXU256DM

not attested not anchored not stored refs pending

Enriched indexed categories

Michael Shulman

arxiv:1212.3914 v3 · 2012-12-17 · 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{55K7WQIIGKCJDWKG6NEXU256DM}

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.

Cited by

2 papers in Pith

Entanglement of Sections: The pushout of entangled and parameterized quantum information

A Global Model Structure for $\mathbb{K}$-Linear $\infty$-Local Systems

Receipt and verification

First computed	2026-05-18T02:50:13.593844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef55fb4108328491d946f3497a6bbe1b1097a92058d794bf0f0a2ec6e47e06c6

Aliases

arxiv: 1212.3914 · arxiv_version: 1212.3914v3 · doi: 10.48550/arxiv.1212.3914 · pith_short_12: 55K7WQIIGKCJ · pith_short_16: 55K7WQIIGKCJDWKG · pith_short_8: 55K7WQII

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/55K7WQIIGKCJDWKG6NEXU256DM \
  | 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: ef55fb4108328491d946f3497a6bbe1b1097a92058d794bf0f0a2ec6e47e06c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "450e98b116516f43108c1661915a750ba89e27a9c54ff7903e9e1655a8f703e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2012-12-17T08:02:23Z",
    "title_canon_sha256": "cfa9f3cab49cfe21c1d0e069a868027d2ebf1b8e0ff89435f7d59ccdab088ac7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3914",
    "kind": "arxiv",
    "version": 3
  }
}