Pith Number

pith:42HETNQJ

pith:2012:42HETNQJU2WG3JTYRJHXKMTCB4

not attested not anchored not stored refs pending

Analytic Tate spaces and reciprocity laws

Ricardo Garcia Lopez

arxiv:1211.4722 v3 · 2012-11-20 · math.AG · math.FA · 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{42HETNQJU2WG3JTYRJHXKMTCB4}

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	2026-05-18T03:26:33.710913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e68e49b609a6ac6da6788a4f7532620f3f957227be01ea302fc0c19bdf1aa020

Aliases

arxiv: 1211.4722 · arxiv_version: 1211.4722v3 · doi: 10.48550/arxiv.1211.4722 · pith_short_12: 42HETNQJU2WG · pith_short_16: 42HETNQJU2WG3JTY · pith_short_8: 42HETNQJ

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/42HETNQJU2WG3JTYRJHXKMTCB4 \
  | 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: e68e49b609a6ac6da6788a4f7532620f3f957227be01ea302fc0c19bdf1aa020

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eefdde00f6012646d2e97636af3bfc799f843f085150d4fed1befd0bc99881af",
    "cross_cats_sorted": [
      "math.FA",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-20T11:57:29Z",
    "title_canon_sha256": "5956eff08dd26c2d3506cde85be0945c4e167cfadd3bb49ec2c21c086e6e8e0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4722",
    "kind": "arxiv",
    "version": 3
  }
}