Pith Number

pith:PL7CWBWV

pith:2010:PL7CWBWVMZCI7JW3UGEMXHSKJE

not attested not anchored not stored refs pending

Multi-moment maps

Andrew Swann, Thomas Bruun Madsen

arxiv:1012.2048 v2 · 2010-12-09 · math.DG · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PL7CWBWVMZCI7JW3UGEMXHSKJE}

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	2026-05-18T02:42:54.480595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7afe2b06d566448fa6dba188cb9e4a491e1878967e75660df5cd8a8125ea45b8

Aliases

arxiv: 1012.2048 · arxiv_version: 1012.2048v2 · doi: 10.48550/arxiv.1012.2048 · pith_short_12: PL7CWBWVMZCI · pith_short_16: PL7CWBWVMZCI7JW3 · pith_short_8: PL7CWBWV

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/PL7CWBWVMZCI7JW3UGEMXHSKJE \
  | 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: 7afe2b06d566448fa6dba188cb9e4a491e1878967e75660df5cd8a8125ea45b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fce85eee136c10b4123af8ce8ce72a9ee871c48d493b1e90fbcbb475df4adad",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-12-09T16:51:23Z",
    "title_canon_sha256": "0abc7efda9816e5a12fdecb5fef29f57a487a9cfc0cc62580c8337230a12f2a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2048",
    "kind": "arxiv",
    "version": 2
  }
}