Pith Number

pith:2JDEO5ZU

pith:2013:2JDEO5ZUHPP5K2UQJCFB3B327J

not attested not anchored not stored refs pending

Hecke Operators on Stable Cohomology

Frank Calegari, Matthew Emerton

arxiv:1311.5183 v1 · 2013-11-20 · math.GT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2JDEO5ZUHPP5K2UQJCFB3B327J}

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	2026-05-18T03:06:35.015575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2464777343bdfd56a90488a1d877afa49a95ff7bc7958205c34d3c3ffc5dff2

Aliases

arxiv: 1311.5183 · arxiv_version: 1311.5183v1 · doi: 10.48550/arxiv.1311.5183 · pith_short_12: 2JDEO5ZUHPP5 · pith_short_16: 2JDEO5ZUHPP5K2UQ · pith_short_8: 2JDEO5ZU

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/2JDEO5ZUHPP5K2UQJCFB3B327J \
  | 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: d2464777343bdfd56a90488a1d877afa49a95ff7bc7958205c34d3c3ffc5dff2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31c0e140667eac2ae3a70de1b2c8fe26f89d41cdc4a564cdc13f465e9a3f29dc",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-11-20T19:30:06Z",
    "title_canon_sha256": "f74a4d24c945723de4319fa6588087ea7003502df16c0a93aa2a81c65c0e2407"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5183",
    "kind": "arxiv",
    "version": 1
  }
}