Pith Number

pith:5OFKVAHV

pith:2011:5OFKVAHVWH64TN3FYOFZWMVMNI

not attested not anchored not stored refs pending

Spaces of Operad Structures

Marcy Robertson

arxiv:1111.3904 v1 · 2011-11-16 · math.AT · 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{5OFKVAHVWH64TN3FYOFZWMVMNI}

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	2026-05-18T04:08:12.889541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb8aaa80f5b1fdc9b765c38b9b32ac6a24fbc08ea576deb3893754e01a80a14d

Aliases

arxiv: 1111.3904 · arxiv_version: 1111.3904v1 · doi: 10.48550/arxiv.1111.3904 · pith_short_12: 5OFKVAHVWH64 · pith_short_16: 5OFKVAHVWH64TN3F · pith_short_8: 5OFKVAHV

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/5OFKVAHVWH64TN3FYOFZWMVMNI \
  | 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: eb8aaa80f5b1fdc9b765c38b9b32ac6a24fbc08ea576deb3893754e01a80a14d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90540e109196e842b9113679e8c52d4ddf4079f94b4272cadf291028b66839d9",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-11-16T18:43:51Z",
    "title_canon_sha256": "6692f9ae4cd05c1dc03fb27efd7699d25cb268911d2649be05c4a779f541fe61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3904",
    "kind": "arxiv",
    "version": 1
  }
}