Pith Number

pith:SDKCRN46

pith:2015:SDKCRN46A7QZZO2DMT24UGAN5D

not attested not anchored not stored refs pending

Modular Graph Functions

Eric D'Hoker, Michael B. Green, Omer Gurdogan, Pierre Vanhove

arxiv:1512.06779 v2 · 2015-12-21 · hep-th · math-ph · math.MP · 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{SDKCRN46A7QZZO2DMT24UGAN5D}

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.

Cited by

1 paper in Pith

Towards Motivic Coactions at Genus One from Zeta Generators

Receipt and verification

First computed	2026-05-18T00:36:33.488123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90d428b79e07e19cbb4364f5ca180de8fa8935330db5d4ff50d99261822a5c57

Aliases

arxiv: 1512.06779 · arxiv_version: 1512.06779v2 · doi: 10.48550/arxiv.1512.06779 · pith_short_12: SDKCRN46A7QZ · pith_short_16: SDKCRN46A7QZZO2D · pith_short_8: SDKCRN46

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/SDKCRN46A7QZZO2DMT24UGAN5D \
  | 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: 90d428b79e07e19cbb4364f5ca180de8fa8935330db5d4ff50d99261822a5c57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b8575b236f8cd41df84dca33e5bbe3416333c9bb92868b39941c4bd14ac2d92",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-12-21T19:26:27Z",
    "title_canon_sha256": "e9f4b5cb8e5ecbc80e49f952d6d32825d91e1d3b647ae6c9862f08cbd2439e14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06779",
    "kind": "arxiv",
    "version": 2
  }
}