Pith Number

pith:4EDEZPLY

pith:2012:4EDEZPLYGAERQTXWDQNIOJSQE3

not attested not anchored not stored refs pending

On stellated spheres and a tightness criterion for combinatorial manifolds

Basudeb Datta, Bhaskar Bagchi

arxiv:1207.5599 v2 · 2012-07-24 · math.GT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4EDEZPLYGAERQTXWDQNIOJSQE3}

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	2026-05-18T03:25:35.069020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1064cbd783009184ef61c1a87265026fcbf2e0eec4139ada94aa8c35645027e

Aliases

arxiv: 1207.5599 · arxiv_version: 1207.5599v2 · doi: 10.48550/arxiv.1207.5599 · pith_short_12: 4EDEZPLYGAER · pith_short_16: 4EDEZPLYGAERQTXW · pith_short_8: 4EDEZPLY

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/4EDEZPLYGAERQTXWDQNIOJSQE3 \
  | 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: e1064cbd783009184ef61c1a87265026fcbf2e0eec4139ada94aa8c35645027e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abe15c9f7c648808fffaf265355a8ff4bfc8b56167f155513df624cfb9c1a54a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-07-24T06:40:05Z",
    "title_canon_sha256": "a10bf158698d5077bf1384e309e3230e847db20fa043e109c980852f93824a7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5599",
    "kind": "arxiv",
    "version": 2
  }
}