Pith Number

pith:TRTDRYJE

pith:2025:TRTDRYJELNWPQ2RYY2CMVZ5PRG

not attested not anchored not stored refs pending

Bounds for sets of remainders

Ingrid Vukusic, Omkar Baraskar

arxiv:2508.20853 v1 · 2025-08-28 · 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{TRTDRYJELNWPQ2RYY2CMVZ5PRG}

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	2026-07-05T12:01:12.268403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c6638e1245b6cf86a38c684cae7af898616a584685278294da07ff738614175

Aliases

arxiv: 2508.20853 · arxiv_version: 2508.20853v1 · doi: 10.48550/arxiv.2508.20853 · pith_short_12: TRTDRYJELNWP · pith_short_16: TRTDRYJELNWPQ2RY · pith_short_8: TRTDRYJE

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/TRTDRYJELNWPQ2RYY2CMVZ5PRG \
  | 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: 9c6638e1245b6cf86a38c684cae7af898616a584685278294da07ff738614175

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54ca3710f0d0465e5321cfa825f5f3c171203e2fd2c896b1573ecfc9e31aa0ef",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-08-28T14:49:24Z",
    "title_canon_sha256": "68a7d3e578bbcaacfaee28b30b66df33ee446a551361edc1ad9ced2f99f4287b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.20853",
    "kind": "arxiv",
    "version": 1
  }
}