Pith Number

pith:O2HNIDAE

pith:2008:O2HNIDAEWY6JD5SZZCH24D6EHF

not attested not anchored not stored refs pending

Density of isoperimetric spectra

Max Forester, Noel Brady

arxiv:0812.1036 v1 · 2008-12-04 · math.GR · math.DG · 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{O2HNIDAEWY6JD5SZZCH24D6EHF}

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	2026-05-18T01:04:50.983018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

768ed40c04b63c91f659c88fae0fc439568cb881f4dee03a3436c9ff3df3c673

Aliases

arxiv: 0812.1036 · arxiv_version: 0812.1036v1 · doi: 10.48550/arxiv.0812.1036 · pith_short_12: O2HNIDAEWY6J · pith_short_16: O2HNIDAEWY6JD5SZ · pith_short_8: O2HNIDAE

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/O2HNIDAEWY6JD5SZZCH24D6EHF \
  | 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: 768ed40c04b63c91f659c88fae0fc439568cb881f4dee03a3436c9ff3df3c673

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4163963eae68faa08a69f98736fec53ab497dd70b986dbf19a0f468dfdad7761",
    "cross_cats_sorted": [
      "math.DG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-12-04T22:22:43Z",
    "title_canon_sha256": "85d2bd2d5c4622df65d537802ac448ad51972bb32eefe2e3ed7159e13f9fddea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.1036",
    "kind": "arxiv",
    "version": 1
  }
}