Pith Number

pith:65PQJYE5

pith:2015:65PQJYE53HPPETQISY2IVG7Z7L

not attested not anchored not stored refs pending

Difference Sets and Polynomials

Alex Rice, Neil Lyall

arxiv:1504.04904 v3 · 2015-04-20 · math.NT · math.CA · 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{65PQJYE53HPPETQISY2IVG7Z7L}

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	2026-05-18T00:55:39.528118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f75f04e09dd9def24e0896348a9bf9fadd3e0e38b383ef32b1a1c61994cf2e1d

Aliases

arxiv: 1504.04904 · arxiv_version: 1504.04904v3 · doi: 10.48550/arxiv.1504.04904 · pith_short_12: 65PQJYE53HPP · pith_short_16: 65PQJYE53HPPETQI · pith_short_8: 65PQJYE5

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/65PQJYE53HPPETQISY2IVG7Z7L \
  | 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: f75f04e09dd9def24e0896348a9bf9fadd3e0e38b383ef32b1a1c61994cf2e1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90a8d4699fe125577a7c35027b55fd8acc895b2ca7510150bc997edbf5269749",
    "cross_cats_sorted": [
      "math.CA",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-20T00:50:05Z",
    "title_canon_sha256": "fb7b7f43fad0fc681653804b09398c19366c9b8348f07a65809a3668a2e3059f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04904",
    "kind": "arxiv",
    "version": 3
  }
}