Pith Number

pith:T2BXQJXI

pith:2024:T2BXQJXI33YGVBOI24HX3V2YYE

not attested not anchored not stored refs pending

Envelopes and the bar complex

Matthew Hogancamp

arxiv:2501.00122 v1 · 2024-12-30 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T2BXQJXI33YGVBOI24HX3V2YYE}

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	2026-07-05T09:55:39.418855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e837826e8def06a85c8d70f7dd758c1348e5e10f14ee4c6bd0e19d6cee09fea

Aliases

arxiv: 2501.00122 · arxiv_version: 2501.00122v1 · doi: 10.48550/arxiv.2501.00122 · pith_short_12: T2BXQJXI33YG · pith_short_16: T2BXQJXI33YGVBOI · pith_short_8: T2BXQJXI

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/T2BXQJXI33YGVBOI24HX3V2YYE \
  | 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: 9e837826e8def06a85c8d70f7dd758c1348e5e10f14ee4c6bd0e19d6cee09fea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "628ad8950e08d9f8cf83053455bbd47b3f1a435c767252cd396244075048f01e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2024-12-30T19:52:48Z",
    "title_canon_sha256": "a369fc8aaa493eff3af2db568c92c58941e88c44c2d509e80f19ac7e18b932f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.00122",
    "kind": "arxiv",
    "version": 1
  }
}