Pith Number

pith:ZGHXSJKV

pith:2012:ZGHXSJKV2NS45C5TRBL42VUBTV

not attested not anchored not stored refs pending

Structured singular manifolds and factorization homology

David Ayala, Hiro Lee Tanaka, John Francis

arxiv:1206.5164 v3 · 2012-06-22 · 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{ZGHXSJKV2NS45C5TRBL42VUBTV}

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	2026-05-18T02:41:58.477963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c98f792555d365ce8bb38857cd56819d5121b1d09454faad5e5a3ba96de98386

Aliases

arxiv: 1206.5164 · arxiv_version: 1206.5164v3 · doi: 10.48550/arxiv.1206.5164 · pith_short_12: ZGHXSJKV2NS4 · pith_short_16: ZGHXSJKV2NS45C5T · pith_short_8: ZGHXSJKV

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/ZGHXSJKV2NS45C5TRBL42VUBTV \
  | 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: c98f792555d365ce8bb38857cd56819d5121b1d09454faad5e5a3ba96de98386

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a6a1a93b8ae649c535812baffd7dc308c698d41de93359a5afd37e55a0b5571",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-06-22T14:37:09Z",
    "title_canon_sha256": "da73dd73faeb19e5a3c4c79a9f1c2556d859aead957ea4264c51add22a29e100"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5164",
    "kind": "arxiv",
    "version": 3
  }
}