Pith Number

pith:D7QG66IP

pith:2013:D7QG66IPGYKXSWELH4WC667IBB

not attested not anchored not stored refs pending

A multi-dimensional Szemer\'edi theorem for the primes via a correspondence principle

Tamar Ziegler, Terence Tao

arxiv:1306.2886 v3 · 2013-06-12 · 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{D7QG66IPGYKXSWELH4WC667IBB}

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	2026-05-18T03:05:54.407932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fe06f790f361579588b3f2c2f7be8084cc1a77cb52cdaf219c52a5c9adf522e

Aliases

arxiv: 1306.2886 · arxiv_version: 1306.2886v3 · doi: 10.48550/arxiv.1306.2886 · pith_short_12: D7QG66IPGYKX · pith_short_16: D7QG66IPGYKXSWEL · pith_short_8: D7QG66IP

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/D7QG66IPGYKXSWELH4WC667IBB \
  | 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: 1fe06f790f361579588b3f2c2f7be8084cc1a77cb52cdaf219c52a5c9adf522e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b7529a7e2036799f269ab86130621440ebf4323b62627323f54bb1ab6ad3735",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-12T16:37:10Z",
    "title_canon_sha256": "0c76c7d591081ebd3f9b34f1feacc643dfd2e314e40c8e6c0629a6173519749e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2886",
    "kind": "arxiv",
    "version": 3
  }
}