Pith Number

pith:A2MP3HWX

pith:2018:A2MP3HWXH7CD54BHIOXTW4GVVR

not attested not anchored not stored refs pending

Operadic categories and d\'ecalage

Joachim Kock, Mark Weber, Richard Garner

arxiv:1812.01750 v1 · 2018-12-04 · 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{A2MP3HWXH7CD54BHIOXTW4GVVR}

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	2026-07-05T02:27:17.608792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0698fd9ed73fc43ef02743af3b70d5ac629d87110e4a42930ec3c13aa28304ae

Aliases

arxiv: 1812.01750 · arxiv_version: 1812.01750v1 · doi: 10.48550/arxiv.1812.01750 · pith_short_12: A2MP3HWXH7CD · pith_short_16: A2MP3HWXH7CD54BH · pith_short_8: A2MP3HWX

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/A2MP3HWXH7CD54BHIOXTW4GVVR \
  | 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: 0698fd9ed73fc43ef02743af3b70d5ac629d87110e4a42930ec3c13aa28304ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "155187b7f716ab8025913e3bb593dc5dbcfcc08de77accf7d7779901809a5c7e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2018-12-04T23:35:10Z",
    "title_canon_sha256": "1bba97f649ac6416c9253a5f2de97635a07343b78659e3e363b0a525ae22460c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.01750",
    "kind": "arxiv",
    "version": 1
  }
}