Pith Number

pith:ZGRIWDCC

pith:2013:ZGRIWDCC3V4AYR7S44RLQHG4SE

not attested not anchored not stored refs pending

$\mathbf{Bad}(s,t)$ is hyperplane absolute winning

David S. Simmons, Erez Nesharim

arxiv:1307.5037 v2 · 2013-07-18 · 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{ZGRIWDCC3V4AYR7S44RLQHG4SE}

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	2026-05-18T02:42:46.650103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9a28b0c42dd780c47f2e722b81cdc91379a52cdc9ae93ed741c04e1f0d8269f

Aliases

arxiv: 1307.5037 · arxiv_version: 1307.5037v2 · doi: 10.48550/arxiv.1307.5037 · pith_short_12: ZGRIWDCC3V4A · pith_short_16: ZGRIWDCC3V4AYR7S · pith_short_8: ZGRIWDCC

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/ZGRIWDCC3V4AYR7S44RLQHG4SE \
  | 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: c9a28b0c42dd780c47f2e722b81cdc91379a52cdc9ae93ed741c04e1f0d8269f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dfe34b3781fdc4c25a0565d3be1e88cb51ed46b40c1afc09b273cb5a8552bca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-18T18:35:23Z",
    "title_canon_sha256": "56f53c68bbbd237781d8fbf320e05233e9b35078c35b51e792e8c048be3487ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5037",
    "kind": "arxiv",
    "version": 2
  }
}