Pith Number

pith:MMLIUV7K

pith:2013:MMLIUV7KSIDVIT3N25V7AIBIVA

not attested not anchored not stored refs pending

On Mpc-structures and Symplectic Dirac Operators

John Rawnsley, Laurent La Fuente Gravy, Michel Cahen, Simone Gutt

arxiv:1307.1634 v1 · 2013-07-05 · math.SG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MMLIUV7KSIDVIT3N25V7AIBIVA}

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	2026-05-18T01:48:59.406035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63168a57ea9207544f6dd76bf02028a81018fd522b1062137aebfb28c4268ef0

Aliases

arxiv: 1307.1634 · arxiv_version: 1307.1634v1 · doi: 10.48550/arxiv.1307.1634 · pith_short_12: MMLIUV7KSIDV · pith_short_16: MMLIUV7KSIDVIT3N · pith_short_8: MMLIUV7K

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/MMLIUV7KSIDVIT3N25V7AIBIVA \
  | 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: 63168a57ea9207544f6dd76bf02028a81018fd522b1062137aebfb28c4268ef0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbfc17d597e9dcb39231f8e802c6e6d70d67db6765b19f12f7a5214fb289a74c",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-07-05T15:10:07Z",
    "title_canon_sha256": "0c56008d8e8c91261c6d71b4a20e43f76d755f62ae3ec68e378269e2ca86167c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1634",
    "kind": "arxiv",
    "version": 1
  }
}