Pith Number

pith:MLSLRAR4

pith:2012:MLSLRAR4MPMUXHPXYOZMPQAGY3

not attested not anchored not stored refs pending

Monoidal derivators and additive derivators

Moritz Groth

arxiv:1203.5071 v1 · 2012-03-22 · math.AT · math.AG · 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{MLSLRAR4MPMUXHPXYOZMPQAGY3}

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.

Cited by

1 paper in Pith

Iterated chromatic localisation

Receipt and verification

First computed	2026-05-18T03:59:27.997619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62e4b8823c63d94b9df7c3b2c7c006c6f984ff05bdfb7564654d0685917863be

Aliases

arxiv: 1203.5071 · arxiv_version: 1203.5071v1 · doi: 10.48550/arxiv.1203.5071 · pith_short_12: MLSLRAR4MPMU · pith_short_16: MLSLRAR4MPMUXHPX · pith_short_8: MLSLRAR4

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/MLSLRAR4MPMUXHPXYOZMPQAGY3 \
  | 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: 62e4b8823c63d94b9df7c3b2c7c006c6f984ff05bdfb7564654d0685917863be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7820c74cac1bc2833d9b90c1075b0a61996c07dee22a8970c2645c45793c7da1",
    "cross_cats_sorted": [
      "math.AG",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-03-22T18:28:21Z",
    "title_canon_sha256": "655654ef1d8d753cf53db3e01bf12fd6e0be5e91a1b9bc9f6ebf5ef672be2827"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5071",
    "kind": "arxiv",
    "version": 1
  }
}