Pith Number

pith:SAKEMWYV

pith:2025:SAKEMWYVBPP4L5I4FAVQ5R56FT

not attested not anchored not stored refs pending

Rough numbers between consecutive primes

Ayla Gafni, Terence Tao

arxiv:2508.06463 v1 · 2025-08-08 · 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{SAKEMWYVBPP4L5I4FAVQ5R56FT}

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	2026-07-05T11:50:56.782066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9014465b150bdfc5f51c282b0ec7be2cf5c9e9039b10c1ff50a0f59fd6666a38

Aliases

arxiv: 2508.06463 · arxiv_version: 2508.06463v1 · doi: 10.48550/arxiv.2508.06463 · pith_short_12: SAKEMWYVBPP4 · pith_short_16: SAKEMWYVBPP4L5I4 · pith_short_8: SAKEMWYV

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/SAKEMWYVBPP4L5I4FAVQ5R56FT \
  | 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: 9014465b150bdfc5f51c282b0ec7be2cf5c9e9039b10c1ff50a0f59fd6666a38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9e641b57db260f49f97cb11b73b96aab0d30d0618a2b2de9cd6fd15bbd919e9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-08-08T17:12:24Z",
    "title_canon_sha256": "a02198568170025b18e961adf66f2ad8b6de6e57833611a498dbca3921ce9ff6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.06463",
    "kind": "arxiv",
    "version": 1
  }
}