Pith Number

pith:3ILDRM2O

pith:2010:3ILDRM2OOONNXE5FYVSVWNNXLU

not attested not anchored not stored refs pending

The Prime Geodesic Theorem

K. Soundararajan, Matthew P. Young

arxiv:1011.5486 v1 · 2010-11-24 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ILDRM2OOONNXE5FYVSVWNNXLU}

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	2026-05-18T02:51:25.721055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da1638b34e739adb93a5c5655b35b75d3bae4fb175397410025c2845b5dbeb69

Aliases

arxiv: 1011.5486 · arxiv_version: 1011.5486v1 · doi: 10.48550/arxiv.1011.5486 · pith_short_12: 3ILDRM2OOONN · pith_short_16: 3ILDRM2OOONNXE5F · pith_short_8: 3ILDRM2O

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/3ILDRM2OOONNXE5FYVSVWNNXLU \
  | 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: da1638b34e739adb93a5c5655b35b75d3bae4fb175397410025c2845b5dbeb69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "927de36288405026d26b6793070e716082fdaf638da9451092e808e3a937e760",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-11-24T20:19:38Z",
    "title_canon_sha256": "a4be36b10194c0022d5a32268da988c9b36e235fd7753989ec1a5c9796489d98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5486",
    "kind": "arxiv",
    "version": 1
  }
}