Pith Number

pith:46JHCGBZ

pith:2011:46JHCGBZ47VR5OLMUHI3RW6KX7

not attested not anchored not stored refs pending

Hidden Hodge symmetries and Hodge correlators

A.B. Goncharov

arxiv:1107.5710 v1 · 2011-07-28 · 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{46JHCGBZ47VR5OLMUHI3RW6KX7}

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	2026-05-18T04:16:41.512870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e792711839e7eb1eb96ca1d1b8dbcabfcd5c8d7b3ebc6efc1e14fc717cba5176

Aliases

arxiv: 1107.5710 · arxiv_version: 1107.5710v1 · doi: 10.48550/arxiv.1107.5710 · pith_short_12: 46JHCGBZ47VR · pith_short_16: 46JHCGBZ47VR5OLM · pith_short_8: 46JHCGBZ

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/46JHCGBZ47VR5OLMUHI3RW6KX7 \
  | 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: e792711839e7eb1eb96ca1d1b8dbcabfcd5c8d7b3ebc6efc1e14fc717cba5176

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "725ed8208b3171bfc1637e87322b42e8dc5f58cef1038064e8978d03ad47a7c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-07-28T13:06:05Z",
    "title_canon_sha256": "2f1d7e50f84bb4dd4a8436a37f3309de79b139dd4ec3e053b8fba7e3a28f55b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5710",
    "kind": "arxiv",
    "version": 1
  }
}