Pith Number

pith:XA3TV5R3

pith:2013:XA3TV5R3WVIHF7X7E2NLLUFEGD

not attested not anchored not stored refs pending

Hodge Diamonds and Adjoint Orbits

Brian Callander, Elizabeth Gasparim

arxiv:1311.1265 v2 · 2013-11-06 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XA3TV5R3WVIHF7X7E2NLLUFEGD}

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	2026-05-18T02:52:55.923579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8373af63bb55072feff269ab5d0a430c5a384febe069bd4e07ff1cecdb6bc7a

Aliases

arxiv: 1311.1265 · arxiv_version: 1311.1265v2 · doi: 10.48550/arxiv.1311.1265 · pith_short_12: XA3TV5R3WVIH · pith_short_16: XA3TV5R3WVIHF7X7 · pith_short_8: XA3TV5R3

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/XA3TV5R3WVIHF7X7E2NLLUFEGD \
  | 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: b8373af63bb55072feff269ab5d0a430c5a384febe069bd4e07ff1cecdb6bc7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63e0ac35dcee2c59c8f7c5018cb7b518fe9912ba18af1d4b6e6394ea3b26c504",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-11-06T01:42:41Z",
    "title_canon_sha256": "44308bb47e0058fb315487e39f1628ef1e25e249810549bc7b86a8a4e96998db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1265",
    "kind": "arxiv",
    "version": 2
  }
}