Pith Number

pith:AB7CEQY6

pith:2016:AB7CEQY6AJ3HN24HFHEYOAPJCL

not attested not anchored not stored refs pending

Polynomial patterns in the primes

Tamar Ziegler, Terence Tao

arxiv:1603.07817 v1 · 2016-03-25 · 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{AB7CEQY6AJ3HN24HFHEYOAPJCL}

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	2026-05-18T01:18:17.756177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

007e22431e027676eb8729c98701e912f6306039157c3c372a5a6bfb217e53c1

Aliases

arxiv: 1603.07817 · arxiv_version: 1603.07817v1 · doi: 10.48550/arxiv.1603.07817 · pith_short_12: AB7CEQY6AJ3H · pith_short_16: AB7CEQY6AJ3HN24H · pith_short_8: AB7CEQY6

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/AB7CEQY6AJ3HN24HFHEYOAPJCL \
  | 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: 007e22431e027676eb8729c98701e912f6306039157c3c372a5a6bfb217e53c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0348744855646d01d396adfdfc5c34a574521e5b0454f2288a2f1a3ec3054c18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-03-25T04:09:25Z",
    "title_canon_sha256": "afffcefd96ffab12c394f2cc7e39c4629ff084717e8b5c13fe5c8e2042259eeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07817",
    "kind": "arxiv",
    "version": 1
  }
}