Pith Number

pith:JTXMC6SK

pith:2016:JTXMC6SKH7TS7NMD3CIEXWKBTM

not attested not anchored not stored refs pending

On pair correlation for generic diagonal forms

Jean Bourgain

arxiv:1606.06173 v1 · 2016-06-20 · 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{JTXMC6SKH7TS7NMD3CIEXWKBTM}

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	2026-05-18T01:12:15.358601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ceec17a4a3fe72fb583d8904bd9419b298cdbc288fe157f66ca5ccf97c7f8a1

Aliases

arxiv: 1606.06173 · arxiv_version: 1606.06173v1 · doi: 10.48550/arxiv.1606.06173 · pith_short_12: JTXMC6SKH7TS · pith_short_16: JTXMC6SKH7TS7NMD · pith_short_8: JTXMC6SK

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/JTXMC6SKH7TS7NMD3CIEXWKBTM \
  | 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: 4ceec17a4a3fe72fb583d8904bd9419b298cdbc288fe157f66ca5ccf97c7f8a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55d936edc15b29b538cf7807ee7442f792a661264d8f55e48ffeb0fd8a6979dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-06-20T15:12:16Z",
    "title_canon_sha256": "3b93794d96692354db54f8698b6d7a6bbc085beb19a0054fea9aa42374031f88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06173",
    "kind": "arxiv",
    "version": 1
  }
}