Pith Number

pith:EQVZYXKA

pith:2011:EQVZYXKATTOLDDTC5I7CCCO4QP

not attested not anchored not stored refs pending

Geometry of warped products

Abdelghani Zeghib (UMPA-ENSL)

arxiv:1107.0411 v1 · 2011-07-02 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EQVZYXKATTOLDDTC5I7CCCO4QP}

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	2026-05-18T04:18:54.031572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

242b9c5d409cdcb18e62ea3e2109dc83ccd7b80fb84ecab6f27c465eb5010a30

Aliases

arxiv: 1107.0411 · arxiv_version: 1107.0411v1 · doi: 10.48550/arxiv.1107.0411 · pith_short_12: EQVZYXKATTOL · pith_short_16: EQVZYXKATTOLDDTC · pith_short_8: EQVZYXKA

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/EQVZYXKATTOLDDTC5I7CCCO4QP \
  | 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: 242b9c5d409cdcb18e62ea3e2109dc83ccd7b80fb84ecab6f27c465eb5010a30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41aa0a2db06ea499db1f0bc1e302513c52b18ba03c88ab552809710893973661",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-07-02T20:28:21Z",
    "title_canon_sha256": "ca855ea81ae0025678459d5ad11589b24b85d07269b642a2064b873d5803d2dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0411",
    "kind": "arxiv",
    "version": 1
  }
}