Pith Number

pith:WSCESPKW

pith:2007:WSCESPKWQEY6JRIRKDKFSQ64HI

not attested not anchored not stored refs pending

An open string analogue of Viterbo functoriality

Mohammed Abouzaid, Paul Seidel

arxiv:0712.3177 v2 · 2007-12-19 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WSCESPKWQEY6JRIRKDKFSQ64HI}

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	2026-05-18T02:38:19.258409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b484493d568131e4c51150d45943dc3a19eae6ceb115d59a61c53ae6b18afc97

Aliases

arxiv: 0712.3177 · arxiv_version: 0712.3177v2 · doi: 10.48550/arxiv.0712.3177 · pith_short_12: WSCESPKWQEY6 · pith_short_16: WSCESPKWQEY6JRIR · pith_short_8: WSCESPKW

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/WSCESPKWQEY6JRIRKDKFSQ64HI \
  | 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: b484493d568131e4c51150d45943dc3a19eae6ceb115d59a61c53ae6b18afc97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c990dca4661081196e705e06ba291a5553c73f2b69031a9d226e278b112cbef4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2007-12-19T13:01:54Z",
    "title_canon_sha256": "38eca2aa88f9bab62b1a572b6b3951ec8d69387bee10c54595b5b5f059592390"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.3177",
    "kind": "arxiv",
    "version": 2
  }
}