Pith Number

pith:PQQXVFPY

pith:2011:PQQXVFPY2TZJUW43KBZ2JJRPFK

not attested not anchored not stored refs pending

Monads with arities and their associated theories

Clemens Berger, Mark Weber, Paul-Andr\'e Melli\`es

arxiv:1101.3064 v2 · 2011-01-16 · 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{PQQXVFPY2TZJUW43KBZ2JJRPFK}

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	2026-05-18T01:17:57.682714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c217a95f8d4f29a5b9b5073a4a62f2a9aa43ab06e936c02206ee0f2e827e4ba

Aliases

arxiv: 1101.3064 · arxiv_version: 1101.3064v2 · doi: 10.48550/arxiv.1101.3064 · pith_short_12: PQQXVFPY2TZJ · pith_short_16: PQQXVFPY2TZJUW43 · pith_short_8: PQQXVFPY

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/PQQXVFPY2TZJUW43KBZ2JJRPFK \
  | 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: 7c217a95f8d4f29a5b9b5073a4a62f2a9aa43ab06e936c02206ee0f2e827e4ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecf5571a048da552c9ead711c85f22fd7116958485d9d02c82c33f0160abfe92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2011-01-16T12:01:52Z",
    "title_canon_sha256": "87b3946eb484829339808633202ef24a9eda2a76f663fa16d9357ca9f1a1dece"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3064",
    "kind": "arxiv",
    "version": 2
  }
}