Pith Number

pith:XOYAFNIX

pith:2013:XOYAFNIX2VISPEDKY6PWQEO53T

not attested not anchored not stored refs pending

On the quantitative distribution of polynomial nilsequences - erratum

Ben Green, Terence Tao

arxiv:1311.6170 v3 · 2013-11-24 · 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{XOYAFNIX2VISPEDKY6PWQEO53T}

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	2026-05-18T01:35:20.847497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbb002b517d55127906ac79f6811dddceeabf849b7db30b2b8c616b275553143

Aliases

arxiv: 1311.6170 · arxiv_version: 1311.6170v3 · doi: 10.48550/arxiv.1311.6170 · pith_short_12: XOYAFNIX2VIS · pith_short_16: XOYAFNIX2VISPEDK · pith_short_8: XOYAFNIX

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/XOYAFNIX2VISPEDKY6PWQEO53T \
  | 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: bbb002b517d55127906ac79f6811dddceeabf849b7db30b2b8c616b275553143

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89fa000814b6be7f7953c9d34b0fecec859d9024fea4ba9b0f91fb89cbd592e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-11-24T21:13:11Z",
    "title_canon_sha256": "288fd184f8a5ab7494774404003d8654ccaddb359987c2c136ad9bc5a8903118"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6170",
    "kind": "arxiv",
    "version": 3
  }
}