Pith Number

pith:BDG4HMR6

pith:2019:BDG4HMR6MPHP5V4ZSKASWJWFIL

not attested not anchored not stored refs pending

Mixed Hodge numbers and factorial ratios

Fernando Rodriguez Villegas

arxiv:1907.02722 v1 · 2019-07-05 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BDG4HMR6MPHP5V4ZSKASWJWFIL}

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	2026-05-17T23:41:23.397545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08cdc3b23e63cefed79992812b26c542e5b315164001c8a6d2cb5590bf4b8d31

Aliases

arxiv: 1907.02722 · arxiv_version: 1907.02722v1 · doi: 10.48550/arxiv.1907.02722 · pith_short_12: BDG4HMR6MPHP · pith_short_16: BDG4HMR6MPHP5V4Z · pith_short_8: BDG4HMR6

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/BDG4HMR6MPHP5V4ZSKASWJWFIL \
  | 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: 08cdc3b23e63cefed79992812b26c542e5b315164001c8a6d2cb5590bf4b8d31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f81fdfa7af01e1c90656e9bbe92c28ef45a530c0071a37ef9a559ac40ecca8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-07-05T08:37:05Z",
    "title_canon_sha256": "eddc9a4495c6aaa9fccb7da100f121572764efb5f3803543a4025318f23e572f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.02722",
    "kind": "arxiv",
    "version": 1
  }
}