Pith Number

pith:75JPTMY5

pith:2010:75JPTMY5YA4THY5LTIOAGYYQ3O

not attested not anchored not stored refs pending

Random maximal isotropic subspaces and Selmer groups

Bjorn Poonen, Eric Rains

arxiv:1009.0287 v2 · 2010-09-01 · 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{75JPTMY5YA4THY5LTIOAGYYQ3O}

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	2026-05-18T00:47:34.193585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff52f9b31dc03933e3ab9a1c036310db987665d4eaba3f69b38d9b5fa961b9c0

Aliases

arxiv: 1009.0287 · arxiv_version: 1009.0287v2 · doi: 10.48550/arxiv.1009.0287 · pith_short_12: 75JPTMY5YA4T · pith_short_16: 75JPTMY5YA4THY5L · pith_short_8: 75JPTMY5

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/75JPTMY5YA4THY5LTIOAGYYQ3O \
  | 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: ff52f9b31dc03933e3ab9a1c036310db987665d4eaba3f69b38d9b5fa961b9c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a88f51f7ad1c1c3bb5c3f8c648d9665948771c405d3f15d961fe686533c79a5",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-09-01T21:41:54Z",
    "title_canon_sha256": "e8a8438f1646123668fb0b0dd95d938dc1e13d60edca119f2d10ef1a09591c59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0287",
    "kind": "arxiv",
    "version": 2
  }
}