Pith Number

pith:WQVXB7PU

pith:2019:WQVXB7PURWDW2SB2VY7CIODISF

not attested not anchored not stored refs pending

Monoidal structures on the categories of quadratic data

Bruno Vallette, Yuri I. Manin

arxiv:1902.03778 v2 · 2019-02-11 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WQVXB7PURWDW2SB2VY7CIODISF}

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	2026-05-17T23:52:26.728866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b42b70fdf48d876d483aae3e243868917c938fb45db8e6ee0e35af3ddbb08a67

Aliases

arxiv: 1902.03778 · arxiv_version: 1902.03778v2 · doi: 10.48550/arxiv.1902.03778 · pith_short_12: WQVXB7PURWDW · pith_short_16: WQVXB7PURWDW2SB2 · pith_short_8: WQVXB7PU

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/WQVXB7PURWDW2SB2VY7CIODISF \
  | 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: b42b70fdf48d876d483aae3e243868917c938fb45db8e6ee0e35af3ddbb08a67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bceaa7fe9603fa3501382f57db9aedd0d920739389e242df23b4e264ea4bd03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2019-02-11T08:42:05Z",
    "title_canon_sha256": "21c37ca480644833ed301e8ef743c39bc3d965c4d7932b6f4ac6b9f4de158c5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.03778",
    "kind": "arxiv",
    "version": 2
  }
}