Pith Number

pith:WTBPGEBU

pith:2006:WTBPGEBUMNBEP7M6RGKVDZTODI

not attested not anchored not stored refs pending

Convergence and the Length Spectrum

Christina Sormani

arxiv:math/0602314 v1 · 2006-02-14 · math.MG · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WTBPGEBUMNBEP7M6RGKVDZTODI}

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	2026-07-04T15:52:43.300723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4c2f31034634247fd9e899551e66e1a3e041acbed5d00ed1560e181ff93df88

Aliases

arxiv: math/0602314 · arxiv_version: math/0602314v1 · doi: 10.48550/arxiv.math/0602314 · pith_short_12: WTBPGEBUMNBE · pith_short_16: WTBPGEBUMNBEP7M6 · pith_short_8: WTBPGEBU

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/WTBPGEBUMNBEP7M6RGKVDZTODI \
  | 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: b4c2f31034634247fd9e899551e66e1a3e041acbed5d00ed1560e181ff93df88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac46045e0dc78793b61281ec5ab32c7be4ec07c6c525588a897cc411e179c61c",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math.MG",
    "submitted_at": "2006-02-14T20:28:39Z",
    "title_canon_sha256": "acedfcb0147c08ea77d494c55b82e0ef9bfdcf5fec8e20cf698bb358ba492329"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0602314",
    "kind": "arxiv",
    "version": 1
  }
}