Pith Number

pith:AMQ67TYJ

pith:2019:AMQ67TYJBJS5JKSLJTO3O2YFDA

not attested not anchored not stored refs pending

Hereditary species as monoidal decomposition spaces, comodule bialgebras, and operadic categories

Louis Carlier

arxiv:1903.07964 v1 · 2019-03-19 · math.CO · 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{AMQ67TYJBJS5JKSLJTO3O2YFDA}

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	2026-05-17T23:50:53.396149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0321efcf090a65d4aa4b4cddb76b05180850e9aa87cbd17c0e8e7339646ba958

Aliases

arxiv: 1903.07964 · arxiv_version: 1903.07964v1 · doi: 10.48550/arxiv.1903.07964 · pith_short_12: AMQ67TYJBJS5 · pith_short_16: AMQ67TYJBJS5JKSL · pith_short_8: AMQ67TYJ

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/AMQ67TYJBJS5JKSLJTO3O2YFDA \
  | 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: 0321efcf090a65d4aa4b4cddb76b05180850e9aa87cbd17c0e8e7339646ba958

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5406568a45e0ff42ed1c3216160bf90a7b021dbb0cf293ff217628ea0a1e703",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-19T12:36:57Z",
    "title_canon_sha256": "c34838691e78dfe8de6d4b4ccbbc3b93d493badd988852bc8f12560027193992"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.07964",
    "kind": "arxiv",
    "version": 1
  }
}