Pith Number

pith:FZF7XQQX

pith:2013:FZF7XQQXBCOB3TLHDK5TUCARA4

not attested not anchored not stored refs pending

Character sums over unions of intervals

Xuancheng Shao

arxiv:1302.0348 v1 · 2013-02-02 · 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{FZF7XQQXBCOB3TLHDK5TUCARA4}

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	2026-05-18T03:34:37.405740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e4bfbc217089c1dcd671abb3a08110733af0ab17d4ab7042fd97a96c715d723

Aliases

arxiv: 1302.0348 · arxiv_version: 1302.0348v1 · doi: 10.48550/arxiv.1302.0348 · pith_short_12: FZF7XQQXBCOB · pith_short_16: FZF7XQQXBCOB3TLH · pith_short_8: FZF7XQQX

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/FZF7XQQXBCOB3TLHDK5TUCARA4 \
  | 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: 2e4bfbc217089c1dcd671abb3a08110733af0ab17d4ab7042fd97a96c715d723

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f6a6aca71b9e2587592b268d45b0a824cd6cd882c15ae8c87e2ec1d49ac617f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-02-02T06:26:40Z",
    "title_canon_sha256": "62bcc28e556d21af4a44f3c6cc031bb772d1e2e8a7ea62d217d7b23b156d8307"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0348",
    "kind": "arxiv",
    "version": 1
  }
}