Pith Number

pith:4NSAYHJM

pith:2013:4NSAYHJMSMW4SVQGOEYEHYFGAR

not attested not anchored not stored refs pending

Lagrangian structures on mapping stacks and semi-classical TFTs

Damien Calaque

arxiv:1306.3235 v2 · 2013-06-13 · math.AG · math-ph · math.AT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4NSAYHJMSMW4SVQGOEYEHYFGAR}

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	2026-05-18T01:22:19.251062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3640c1d2c932dc95606713043e0a6044d5f606ad2acee4e121a286b443f2595

Aliases

arxiv: 1306.3235 · arxiv_version: 1306.3235v2 · doi: 10.48550/arxiv.1306.3235 · pith_short_12: 4NSAYHJMSMW4 · pith_short_16: 4NSAYHJMSMW4SVQG · pith_short_8: 4NSAYHJM

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/4NSAYHJMSMW4SVQGOEYEHYFGAR \
  | 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: e3640c1d2c932dc95606713043e0a6044d5f606ad2acee4e121a286b443f2595

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1922ae17adf3c2490579de1cd186f4c51ca9ef4e97b39879c6fbb1dedfbddf1",
    "cross_cats_sorted": [
      "math-ph",
      "math.AT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-06-13T20:01:30Z",
    "title_canon_sha256": "e87701ba218487b2a0184b6a82224edd322421f3a4990b881f5903816c2e7912"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3235",
    "kind": "arxiv",
    "version": 2
  }
}