Pith Number

pith:QI5BXZXM

pith:2014:QI5BXZXM7OSO2RHMPYYIG34ODM

not attested not anchored not stored refs pending

Narrow progressions in the primes

Tamar Ziegler, Terence Tao

arxiv:1409.1327 v2 · 2014-09-04 · 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{QI5BXZXM7OSO2RHMPYYIG34ODM}

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	2026-05-18T02:40:38.091249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

823a1be6ecfba4ed44ec7e30836f8e1b11719af315c5098146bfbb8d51716862

Aliases

arxiv: 1409.1327 · arxiv_version: 1409.1327v2 · doi: 10.48550/arxiv.1409.1327 · pith_short_12: QI5BXZXM7OSO · pith_short_16: QI5BXZXM7OSO2RHM · pith_short_8: QI5BXZXM

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/QI5BXZXM7OSO2RHMPYYIG34ODM \
  | 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: 823a1be6ecfba4ed44ec7e30836f8e1b11719af315c5098146bfbb8d51716862

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f176d4a35c21c57d9438e0a596d929c049ae4651be4d94f2cdff479c5a5a1f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-04T06:07:51Z",
    "title_canon_sha256": "b15680a06142d282297fbbe03b883170088d3fcdd56f863ae050f60908ead2e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1327",
    "kind": "arxiv",
    "version": 2
  }
}