Pith Number

pith:PDXMGMOY

pith:2017:PDXMGMOYC7MPAZG4NHUJZGDVVR

not attested not anchored not stored refs pending

Operads in algebraic combinatorics

Samuele Giraudo

arxiv:1712.03782 v1 · 2017-12-11 · math.CO · cs.DM · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PDXMGMOYC7MPAZG4NHUJZGDVVR}

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	2026-05-18T00:28:20.057674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78eec331d817d8f064dc69e89c9875ac5171f64558d7e3b860f18dc3e327208d

Aliases

arxiv: 1712.03782 · arxiv_version: 1712.03782v1 · doi: 10.48550/arxiv.1712.03782 · pith_short_12: PDXMGMOYC7MP · pith_short_16: PDXMGMOYC7MPAZG4 · pith_short_8: PDXMGMOY

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/PDXMGMOYC7MPAZG4NHUJZGDVVR \
  | 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: 78eec331d817d8f064dc69e89c9875ac5171f64558d7e3b860f18dc3e327208d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "604206f776e7b1925943f4a344adfa442a14e235dbe7588cb47c297a3ceebeeb",
    "cross_cats_sorted": [
      "cs.DM",
      "math.QA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-11T14:11:03Z",
    "title_canon_sha256": "952ad12d0dba3f99b652decda69ba515caaa272e887f9815dde636e3c192729e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03782",
    "kind": "arxiv",
    "version": 1
  }
}