Pith Number

pith:ULELEFMF

pith:2011:ULELEFMFONJYF3BVYQNPVADBXD

not attested not anchored not stored refs pending

An integral lift of the Gamma-genus

Jack Morava

arxiv:1101.1647 v3 · 2011-01-09 · math.AT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ULELEFMFONJYF3BVYQNPVADBXD}

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	2026-05-18T03:51:02.491498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2c8b21585735382ec35c41afa8061b8eaa4b9002a96f18c4c030144745caaaa

Aliases

arxiv: 1101.1647 · arxiv_version: 1101.1647v3 · doi: 10.48550/arxiv.1101.1647 · pith_short_12: ULELEFMFONJY · pith_short_16: ULELEFMFONJYF3BV · pith_short_8: ULELEFMF

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/ULELEFMFONJYF3BVYQNPVADBXD \
  | 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: a2c8b21585735382ec35c41afa8061b8eaa4b9002a96f18c4c030144745caaaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eba948fa6d2c239ca63ef4efcb9e7045573d2ae2551f228b2b4b47e3004bb0d3",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-01-09T15:28:01Z",
    "title_canon_sha256": "096edcc7445a6e962055b50b4734de9035bb0b199857fbf48074d3126ea3a3b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1647",
    "kind": "arxiv",
    "version": 3
  }
}