Pith Number

pith:IAT45LGJ

pith:2013:IAT45LGJYLGL5U25AO7YM7LYCW

not attested not anchored not stored refs pending

Mayer-Vietoris sequences in stable derivators

Kate Ponto, Michael Shulman, Moritz Groth

arxiv:1306.2072 v2 · 2013-06-09 · math.CT · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IAT45LGJYLGL5U25AO7YM7LYCW}

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	2026-05-18T03:04:15.337053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4027ceacc9c2ccbed35d03bf867d7815ad4ef420863693ceafd35e3e9fab3a49

Aliases

arxiv: 1306.2072 · arxiv_version: 1306.2072v2 · doi: 10.48550/arxiv.1306.2072 · pith_short_12: IAT45LGJYLGL · pith_short_16: IAT45LGJYLGL5U25 · pith_short_8: IAT45LGJ

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/IAT45LGJYLGL5U25AO7YM7LYCW \
  | 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: 4027ceacc9c2ccbed35d03bf867d7815ad4ef420863693ceafd35e3e9fab3a49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2eb58a805069ebb9851dd1eefe01916f49050e8b55c9d182fb34e5b27d6d583",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2013-06-09T23:12:22Z",
    "title_canon_sha256": "b31000479f5251dee134c99cb35ec1979031b1353b970580f26426ba55bb32ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2072",
    "kind": "arxiv",
    "version": 2
  }
}