Pith Number

pith:VCTE5QJX

pith:2012:VCTE5QJX45AIK57O7CAGNIBPFF

not attested not anchored not stored refs pending

Embedding Seifert manifolds in S^4

Andrew Donald

arxiv:1203.6008 v1 · 2012-03-27 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VCTE5QJX45AIK57O7CAGNIBPFF}

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	2026-05-18T03:59:12.756147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8a64ec137e7408577eef88066a02f295782e17df4fc149b55a91e02ffa29fe3

Aliases

arxiv: 1203.6008 · arxiv_version: 1203.6008v1 · doi: 10.48550/arxiv.1203.6008 · pith_short_12: VCTE5QJX45AI · pith_short_16: VCTE5QJX45AIK57O · pith_short_8: VCTE5QJX

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/VCTE5QJX45AIK57O7CAGNIBPFF \
  | 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: a8a64ec137e7408577eef88066a02f295782e17df4fc149b55a91e02ffa29fe3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4841194b7a5235a612b970c5435a3f05fc529f7255c468415074f46b30ebb975",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-03-27T16:02:38Z",
    "title_canon_sha256": "997f1dd50cbda43b16afb2b1b8ac15b5d1c52c87c4d484dfbc4ecc94069d9c2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6008",
    "kind": "arxiv",
    "version": 1
  }
}