Pith Number

pith:XJNKNPBD

pith:2016:XJNKNPBDYKNHUKTDPCLFPX5DTG

not attested not anchored not stored refs pending

Formal gluing along non-linear flags

Benjamin Hennion, Gabriele Vezzosi, Mauro Porta

arxiv:1607.04503 v2 · 2016-07-15 · 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{XJNKNPBDYKNHUKTDPCLFPX5DTG}

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	2026-05-18T01:02:12.470671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba5aa6bc23c29a7a2a63789657dfa399bc672a6cab3699ed9d052efd2ba337d7

Aliases

arxiv: 1607.04503 · arxiv_version: 1607.04503v2 · doi: 10.48550/arxiv.1607.04503 · pith_short_12: XJNKNPBDYKNH · pith_short_16: XJNKNPBDYKNHUKTD · pith_short_8: XJNKNPBD

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/XJNKNPBDYKNHUKTDPCLFPX5DTG \
  | 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: ba5aa6bc23c29a7a2a63789657dfa399bc672a6cab3699ed9d052efd2ba337d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "139e38e04062ece6b17901b0b8b451d661e3fba7465a80ff4fb44eae5270f7c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-07-15T13:30:31Z",
    "title_canon_sha256": "1a6df41cad1872fadbe91baebcadf01922a0eba839fdf69cfa479b7ef279d0ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04503",
    "kind": "arxiv",
    "version": 2
  }
}