Pith Number

pith:OOQFKSBY

pith:2007:OOQFKSBYYENECSJHXYH455HCUS

not attested not anchored not stored refs pending

Moonshine elements in elliptic cohomology

Jack Morava

arxiv:0712.1032 v1 · 2007-12-06 · math.AT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OOQFKSBYYENECSJHXYH455HCUS}

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	2026-05-18T04:19:22.488621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73a0554838c11a414927be0fcef4e2a48548b26cfb4e68132ce32ed1dacbac40

Aliases

arxiv: 0712.1032 · arxiv_version: 0712.1032v1 · doi: 10.48550/arxiv.0712.1032 · pith_short_12: OOQFKSBYYENE · pith_short_16: OOQFKSBYYENECSJH · pith_short_8: OOQFKSBY

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/OOQFKSBYYENECSJHXYH455HCUS \
  | 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: 73a0554838c11a414927be0fcef4e2a48548b26cfb4e68132ce32ed1dacbac40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cef713fd73be0864da10cb8623b93d81891e3c3bf60cfcd72f5da2a11902419",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2007-12-06T20:26:40Z",
    "title_canon_sha256": "de5bbdfbee7faec8bce9e3fa11b84631f00625b73e483153613538e7b5a426e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.1032",
    "kind": "arxiv",
    "version": 1
  }
}