Pith Number

pith:DMUVBN2H

pith:2011:DMUVBN2HWD4PLG2KGRU7GMCPZF

not attested not anchored not stored refs pending

Points on curves in small boxes en applications

Ana Zumalac\'arregui, Igor E. Shparlinski, Javier Cilleruelo, Jos\'e Hern\'andez, Mei-Chu Chang, Moubariz Z. Garaev

arxiv:1111.1543 v3 · 2011-11-07 · 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{DMUVBN2HWD4PLG2KGRU7GMCPZF}

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	2026-05-18T03:59:13.668362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b2950b747b0f8f59b4a3469f3304fc940bcb0939decd448b2eef7705bee9d0b

Aliases

arxiv: 1111.1543 · arxiv_version: 1111.1543v3 · doi: 10.48550/arxiv.1111.1543 · pith_short_12: DMUVBN2HWD4P · pith_short_16: DMUVBN2HWD4PLG2K · pith_short_8: DMUVBN2H

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/DMUVBN2HWD4PLG2KGRU7GMCPZF \
  | 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: 1b2950b747b0f8f59b4a3469f3304fc940bcb0939decd448b2eef7705bee9d0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "597c073cf1f1e111aa067b1146be64ee4e2139cb85f4e7f8bced984a9a86e301",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-11-07T11:13:31Z",
    "title_canon_sha256": "88cbfc7b6aa2f49f53c9b901339fed5203343aa21a477dc2033816c194a18372"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1543",
    "kind": "arxiv",
    "version": 3
  }
}