Pith Number

pith:VSALW4ZT

pith:2013:VSALW4ZT2J7Z2UQFYIP5KXF3NG

not attested not anchored not stored refs pending

Moduli Operad over F1

Matilde Marcolli, Yuri I. Manin

arxiv:1302.6526 v3 · 2013-02-26 · 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{VSALW4ZT2J7Z2UQFYIP5KXF3NG}

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	2026-05-18T03:25:05.621449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac80bb7333d27f9d5205c21fd55cbb6984525d5242b80e3dfbdc6c8f94e4080f

Aliases

arxiv: 1302.6526 · arxiv_version: 1302.6526v3 · doi: 10.48550/arxiv.1302.6526 · pith_short_12: VSALW4ZT2J7Z · pith_short_16: VSALW4ZT2J7Z2UQF · pith_short_8: VSALW4ZT

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/VSALW4ZT2J7Z2UQFYIP5KXF3NG \
  | 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: ac80bb7333d27f9d5205c21fd55cbb6984525d5242b80e3dfbdc6c8f94e4080f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea01cd7dd2aafad5be903a9e55cdf0fde94786553c29597f25e408419d627685",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-02-26T18:38:41Z",
    "title_canon_sha256": "f25293414da61712b085b24563c18eb76ef7243638fbe271cc7eacb70572c903"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6526",
    "kind": "arxiv",
    "version": 3
  }
}