Pith Number

pith:SF3W3CNP

pith:2012:SF3W3CNPDKEP4NW4EO6RFTBSOY

not attested not anchored not stored refs pending

Manifold calculus and homotopy sheaves

Michael S. Weiss, Pedro Boavida de Brito

arxiv:1202.1305 v2 · 2012-02-06 · 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{SF3W3CNPDKEP4NW4EO6RFTBSOY}

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	2026-05-18T00:29:49.631738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91776d89af1a88fe36dc23bd12cc32760cef2585ba66f693410496d2c1013413

Aliases

arxiv: 1202.1305 · arxiv_version: 1202.1305v2 · doi: 10.48550/arxiv.1202.1305 · pith_short_12: SF3W3CNPDKEP · pith_short_16: SF3W3CNPDKEP4NW4 · pith_short_8: SF3W3CNP

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/SF3W3CNPDKEP4NW4EO6RFTBSOY \
  | 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: 91776d89af1a88fe36dc23bd12cc32760cef2585ba66f693410496d2c1013413

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e12912be932a3def56cf6615c6efca68fe62a931171b3bc5c35778777365694",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-02-06T22:07:01Z",
    "title_canon_sha256": "59619a5e33db42cc0de0bc51573cc0c45813bab3928039cfc54ce72f0cdc86b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1305",
    "kind": "arxiv",
    "version": 2
  }
}