Pith Number

pith:7ZERJORF

pith:2015:7ZERJORF2FTCPA2BEYSFEDFDCS

not attested not anchored not stored refs pending

Profinite completion of operads and the Grothendieck-Teichm\"uller group

Geoffroy Horel

arxiv:1504.01605 v2 · 2015-04-07 · math.AT · math.AG · 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{7ZERJORF2FTCPA2BEYSFEDFDCS}

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	2026-05-18T02:00:02.023128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe4914ba25d1662783412624520ca31488bf5734d106dd92cf60b585cda3ae08

Aliases

arxiv: 1504.01605 · arxiv_version: 1504.01605v2 · doi: 10.48550/arxiv.1504.01605 · pith_short_12: 7ZERJORF2FTC · pith_short_16: 7ZERJORF2FTCPA2B · pith_short_8: 7ZERJORF

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/7ZERJORF2FTCPA2BEYSFEDFDCS \
  | 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: fe4914ba25d1662783412624520ca31488bf5734d106dd92cf60b585cda3ae08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12568c6faa57934238b3420931035421b4b2beb52ab1e74de80240426fabeb60",
    "cross_cats_sorted": [
      "math.AG",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-04-07T13:56:26Z",
    "title_canon_sha256": "45eaf24b03d6dd6c153fed0fbec60345a23d79dff9e108fb5ce4efa792993cd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01605",
    "kind": "arxiv",
    "version": 2
  }
}