Pith Number

pith:TC7EK7HM

pith:2011:TC7EK7HMBWQAMZOMRXS7D56HLF

not attested not anchored not stored refs pending

On the remainder in the Weyl formula for the Euclidean disk

Yves Colin De Verdi\`ere (IF)

arxiv:1104.2233 v2 · 2011-04-12 · math-ph · math.CA · math.MP · 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{TC7EK7HMBWQAMZOMRXS7D56HLF}

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	2026-05-18T04:22:31.699884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98be457cec0da00665cc8de5f1f7c7595bff89baf6f0866180f495c7e22529f8

Aliases

arxiv: 1104.2233 · arxiv_version: 1104.2233v2 · doi: 10.48550/arxiv.1104.2233 · pith_short_12: TC7EK7HMBWQA · pith_short_16: TC7EK7HMBWQAMZOM · pith_short_8: TC7EK7HM

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/TC7EK7HMBWQAMZOMRXS7D56HLF \
  | 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: 98be457cec0da00665cc8de5f1f7c7595bff89baf6f0866180f495c7e22529f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "306eb2eb318c5201220bc53c9e1f2687aa8a1d1cb456434b52fc3543cfadca93",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-04-12T14:41:26Z",
    "title_canon_sha256": "a0a3e3c099553d2dd24c0b75911cf8c9ded919345ed1cd977502afca90bbc441"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2233",
    "kind": "arxiv",
    "version": 2
  }
}