Pith Number

pith:P64UVFIK

pith:2013:P64UVFIKY6MHIQNEI73FIB5DX3

not attested not anchored not stored refs pending

On the local-global principle for divisibility in the cohomology of elliptic curves

Brendan Creutz

arxiv:1305.5881 v1 · 2013-05-25 · 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{P64UVFIKY6MHIQNEI73FIB5DX3}

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	2026-05-18T01:24:11.438490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fb94a950ac7987441a447f65407a3bed3054c49dfd5d4732f850b9fd1bfd802

Aliases

arxiv: 1305.5881 · arxiv_version: 1305.5881v1 · doi: 10.48550/arxiv.1305.5881 · pith_short_12: P64UVFIKY6MH · pith_short_16: P64UVFIKY6MHIQNE · pith_short_8: P64UVFIK

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/P64UVFIKY6MHIQNEI73FIB5DX3 \
  | 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: 7fb94a950ac7987441a447f65407a3bed3054c49dfd5d4732f850b9fd1bfd802

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "306af917c9abd119595a1a6d4f6bb97698f513047f1d1ee40f676935eddb30ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-05-25T02:24:14Z",
    "title_canon_sha256": "0af90068285bfa54ae43f22e908cfbf144e056d958abdb83978d36cddb4fae5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5881",
    "kind": "arxiv",
    "version": 1
  }
}