Pith Number

pith:XPAYRFVA

pith:2012:XPAYRFVA7B5MKAJFC4QSMRVQMP

not attested not anchored not stored refs pending

A characterization of a prime $p$ from the binomial coefficient ${n \choose p}$

Alexandre Laugier, Manjil Saikia

arxiv:1209.2373 v4 · 2012-09-07 · 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{XPAYRFVA7B5MKAJFC4QSMRVQMP}

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	2026-05-18T02:52:49.680455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbc18896a0f87ac5012517212646b063c014a2918f1f5aa562b3e9765cb19a39

Aliases

arxiv: 1209.2373 · arxiv_version: 1209.2373v4 · doi: 10.48550/arxiv.1209.2373 · pith_short_12: XPAYRFVA7B5M · pith_short_16: XPAYRFVA7B5MKAJF · pith_short_8: XPAYRFVA

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/XPAYRFVA7B5MKAJFC4QSMRVQMP \
  | 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: bbc18896a0f87ac5012517212646b063c014a2918f1f5aa562b3e9765cb19a39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5392d025f8d841a60f2421d662cf490d24bc6a82c2556dd5f7801084e0534947",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-09-07T06:32:00Z",
    "title_canon_sha256": "9c65b6cd2c3b312ee6737148168bd220d9a57895bef94fd715e4d1fcbb498d12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2373",
    "kind": "arxiv",
    "version": 4
  }
}