Pith Number

pith:MEVA5BH6

pith:2012:MEVA5BH6JDDLMAWK6NQAD6GYYC

not attested not anchored not stored refs pending

The additivity of traces in monoidal derivators

Kate Ponto, Michael Shulman, Moritz Groth

arxiv:1212.3277 v3 · 2012-12-13 · 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{MEVA5BH6JDDLMAWK6NQAD6GYYC}

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	2026-05-18T02:56:58.528421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

612a0e84fe48c6b602caf36001f8d8c0adc748d885d5370e69112e469e3b0fdb

Aliases

arxiv: 1212.3277 · arxiv_version: 1212.3277v3 · doi: 10.48550/arxiv.1212.3277 · pith_short_12: MEVA5BH6JDDL · pith_short_16: MEVA5BH6JDDLMAWK · pith_short_8: MEVA5BH6

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/MEVA5BH6JDDLMAWK6NQAD6GYYC \
  | 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: 612a0e84fe48c6b602caf36001f8d8c0adc748d885d5370e69112e469e3b0fdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f81724001e74a072500eab0fddbfeb109eb0f237227befae628b018ee993ee20",
    "cross_cats_sorted": [
      "math.AG",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-12-13T19:23:36Z",
    "title_canon_sha256": "14efc19224176cb9c233a506ab3f74f9595895ccdbf44f8b889dc78e8886557b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3277",
    "kind": "arxiv",
    "version": 3
  }
}