Pith Number

pith:7SX4MIMO

pith:2015:7SX4MIMO4VJ75MOYPLE44K6JXK

not attested not anchored not stored refs pending

Anatomy of torsion in the CM case

Abbey Bourdon, Paul Pollack, Pete L. Clark

arxiv:1506.00565 v1 · 2015-06-01 · 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{7SX4MIMO4VJ75MOYPLE44K6JXK}

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	2026-05-18T01:59:54.250007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcafc6218ee553feb1d87ac9ce2bc9baab7b57b6e9e480fa0275d0b22256d0a9

Aliases

arxiv: 1506.00565 · arxiv_version: 1506.00565v1 · doi: 10.48550/arxiv.1506.00565 · pith_short_12: 7SX4MIMO4VJ7 · pith_short_16: 7SX4MIMO4VJ75MOY · pith_short_8: 7SX4MIMO

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/7SX4MIMO4VJ75MOYPLE44K6JXK \
  | 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: fcafc6218ee553feb1d87ac9ce2bc9baab7b57b6e9e480fa0275d0b22256d0a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebacd9dd096a9e74531a2b958fe6183948aeabec79250e238b8a9b2d5ab12f55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-06-01T16:52:52Z",
    "title_canon_sha256": "569d796c08b38cbc0efe6cd6f54d20e7d0c28caefe9c66c25e491f8130a55e39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00565",
    "kind": "arxiv",
    "version": 1
  }
}