Pith Number

pith:YYDHQ3NX

pith:2012:YYDHQ3NXR7MXXFRARX6LRAYOOB

not attested not anchored not stored refs pending

Topological pullback, covering spaces, and a triad of Quillen

Jack S. Calcut, John D. McCarthy

arxiv:1205.3122 v1 · 2012-05-14 · math.GN · math.AT · 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{YYDHQ3NXR7MXXFRARX6LRAYOOB}

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	2026-05-18T03:55:37.920245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c606786db78fd97b96208dfcb8830e70695e0ce04025017cf8b51f705307acf8

Aliases

arxiv: 1205.3122 · arxiv_version: 1205.3122v1 · doi: 10.48550/arxiv.1205.3122 · pith_short_12: YYDHQ3NXR7MX · pith_short_16: YYDHQ3NXR7MXXFRA · pith_short_8: YYDHQ3NX

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/YYDHQ3NXR7MXXFRARX6LRAYOOB \
  | 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: c606786db78fd97b96208dfcb8830e70695e0ce04025017cf8b51f705307acf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a759edf237f6c0a7522ad6b439ded4aba76f18f541f4b07bae952373ab4123ad",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2012-05-14T17:59:07Z",
    "title_canon_sha256": "c812ec9f318334b04f0a7c21bc9dda71753dd56c549f968a99f7e57f288f7537"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3122",
    "kind": "arxiv",
    "version": 1
  }
}