Pith Number

pith:RD6DCTTN

pith:2003:RD6DCTTNPNX2WP7JPGCYVSTWBN

not attested not anchored not stored refs pending

Formal symplectic groupoid

Alberto S. Cattaneo, Benoit Dherin, Giovanni Felder

arxiv:math/0312380 v1 · 2003-12-19 · math.SG · math-ph · 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{RD6DCTTNPNX2WP7JPGCYVSTWBN}

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	2026-05-18T01:38:28.653686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88fc314e6d7b6fab3fe979858aca760b4d62892cefc31995d43dcd4ce669c5f9

Aliases

arxiv: math/0312380 · arxiv_version: math/0312380v1 · doi: 10.48550/arxiv.math/0312380 · pith_short_12: RD6DCTTNPNX2 · pith_short_16: RD6DCTTNPNX2WP7J · pith_short_8: RD6DCTTN

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/RD6DCTTNPNX2WP7JPGCYVSTWBN \
  | 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: 88fc314e6d7b6fab3fe979858aca760b4d62892cefc31995d43dcd4ce669c5f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3eb43bc96c77393f732b45c828226a0ca959b0c16886618a4ebd6df3142ca447",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2003-12-19T15:03:12Z",
    "title_canon_sha256": "226271be4c349068aaacd1e157306528bef75fdf42ef5007b68ace583c212ec3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0312380",
    "kind": "arxiv",
    "version": 1
  }
}