Pith Number

pith:73MHDMCA

pith:2014:73MHDMCAW5MLNMMJ32SC5HV6KT

not attested not anchored not stored refs pending

Iwasawa theory of Heegner cycles, I. Rank over the Iwasawa algebra

Matteo Longo, Stefano Vigni

arxiv:1405.2777 v2 · 2014-05-12 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{73MHDMCAW5MLNMMJ32SC5HV6KT}

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	2026-05-18T02:51:41.271783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fed871b040b758b6b189dea42e9ebe54fc1d3deaa4a34820166e9e104626ed6b

Aliases

arxiv: 1405.2777 · arxiv_version: 1405.2777v2 · doi: 10.48550/arxiv.1405.2777 · pith_short_12: 73MHDMCAW5ML · pith_short_16: 73MHDMCAW5MLNMMJ · pith_short_8: 73MHDMCA

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/73MHDMCAW5MLNMMJ32SC5HV6KT \
  | 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: fed871b040b758b6b189dea42e9ebe54fc1d3deaa4a34820166e9e104626ed6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fecbb992a9bd133e73917841b3e10e2c6aef1dc6dc5629ddf34c064f5b3e181",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-05-12T14:26:49Z",
    "title_canon_sha256": "8f96667c7255b088b9be6ff031379e7c16653acc30dffabe648eb243abb916cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2777",
    "kind": "arxiv",
    "version": 2
  }
}