Pith Number

pith:EX3LFERD

pith:2011:EX3LFERDHLLHPNN7LDNLLLIG3H

not attested not anchored not stored refs pending

Note on the additive complements of primes

Hao Pan, Li-Xia Dai

arxiv:1101.1653 v3 · 2011-01-09 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EX3LFERDHLLHPNN7LDNLLLIG3H}

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	2026-05-18T04:23:22.041403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25f6b292233ad677b5bf58dab5ad06d9fe9b104e734419b27cb80443d504f2d6

Aliases

arxiv: 1101.1653 · arxiv_version: 1101.1653v3 · doi: 10.48550/arxiv.1101.1653 · pith_short_12: EX3LFERDHLLH · pith_short_16: EX3LFERDHLLHPNN7 · pith_short_8: EX3LFERD

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/EX3LFERDHLLHPNN7LDNLLLIG3H \
  | 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: 25f6b292233ad677b5bf58dab5ad06d9fe9b104e734419b27cb80443d504f2d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a81cd38770ac418ddf19f0dcb13f97b94ee8d11fa55f032bf1c3d2d211c39209",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-01-09T16:46:33Z",
    "title_canon_sha256": "eef7354222bed37cfb7402432eb4b4872abfadbc1b494a9f3d4623f18160982b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1653",
    "kind": "arxiv",
    "version": 3
  }
}