Pith Number

pith:ESGBW7CL

pith:2015:ESGBW7CLCF4H7ALXZGYL26Q67G

not attested not anchored not stored refs pending

Mixed Hodge modules and mixed twistor modules

Morihiko Saito

arxiv:1512.04286 v10 · 2015-12-14 · 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{ESGBW7CLCF4H7ALXZGYL26Q67G}

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	2026-05-18T01:00:19.623665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

248c1b7c4b11787f8177c9b0bd7a1ef9a7fd4b5f1dc7f75777f4177f3799a4e7

Aliases

arxiv: 1512.04286 · arxiv_version: 1512.04286v10 · doi: 10.48550/arxiv.1512.04286 · pith_short_12: ESGBW7CLCF4H · pith_short_16: ESGBW7CLCF4H7ALX · pith_short_8: ESGBW7CL

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/ESGBW7CLCF4H7ALXZGYL26Q67G \
  | 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: 248c1b7c4b11787f8177c9b0bd7a1ef9a7fd4b5f1dc7f75777f4177f3799a4e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2be1b862cd87ff8779a5371d497e886ef0d0868681f2964b2d9804d5ae73015",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-12-14T12:51:15Z",
    "title_canon_sha256": "6e31599255743071d48481b1f8c16769fdfaf11f07ae2331506102247f8e0750"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04286",
    "kind": "arxiv",
    "version": 10
  }
}