Pith Number

pith:3CVYSIZA

pith:2009:3CVYSIZAXQDI6IOYIXTOXRIOGQ

not attested not anchored not stored refs pending

Involute, minimal, outer and increasingly trapped surfaces

Sean A. Hayward

arxiv:0906.2528 v1 · 2009-06-14 · gr-qc · 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{3CVYSIZAXQDI6IOYIXTOXRIOGQ}

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	2026-05-18T04:25:51.209721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8ab892320bc068f21d845e6ebc50e341b10d04899eae26e926dbfe6f6556ce1

Aliases

arxiv: 0906.2528 · arxiv_version: 0906.2528v1 · doi: 10.48550/arxiv.0906.2528 · pith_short_12: 3CVYSIZAXQDI · pith_short_16: 3CVYSIZAXQDI6IOY · pith_short_8: 3CVYSIZA

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/3CVYSIZAXQDI6IOYIXTOXRIOGQ \
  | 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: d8ab892320bc068f21d845e6ebc50e341b10d04899eae26e926dbfe6f6556ce1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e8a6807af5685e50e3701f853e328890cf6c273c3728a983a2bbb1bf689250f",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-06-14T11:30:50Z",
    "title_canon_sha256": "d0b2a0fd9fcd06f03b61bef9566b236552dacb44ca02d932e78c9bf688d49263"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.2528",
    "kind": "arxiv",
    "version": 1
  }
}