Pith Number

pith:3NJGPZL4

pith:2013:3NJGPZL4SRVGWFB3JAQ2ECVRZM

not attested not anchored not stored refs pending

Flexible bundles over rigid affine surfaces

Adrien Dubouloz (IMB)

arxiv:1304.4189 v1 · 2013-04-15 · 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{3NJGPZL4SRVGWFB3JAQ2ECVRZM}

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	2026-05-18T03:27:55.221999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db5267e57c946a6b143b4821a20ab1cb39571a67ea6716114c8bfe8d9166dcaf

Aliases

arxiv: 1304.4189 · arxiv_version: 1304.4189v1 · doi: 10.48550/arxiv.1304.4189 · pith_short_12: 3NJGPZL4SRVG · pith_short_16: 3NJGPZL4SRVGWFB3 · pith_short_8: 3NJGPZL4

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/3NJGPZL4SRVGWFB3JAQ2ECVRZM \
  | 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: db5267e57c946a6b143b4821a20ab1cb39571a67ea6716114c8bfe8d9166dcaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5dc68265bd8f7cbd2415b23456a9a194767890393bea9d45443ff3c0c0f0df6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-04-15T18:03:54Z",
    "title_canon_sha256": "80a047dc2f919edc843a032c9093fbff76c465844600e6b5169d48678578a425"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4189",
    "kind": "arxiv",
    "version": 1
  }
}