Pith Number

pith:BQXERSSX

pith:2015:BQXERSSX2F3VVZKNNT4VW6LDTL

not attested not anchored not stored refs pending

Inverse theorems for sets and measures of polynomial growth

Terence Tao

arxiv:1507.01276 v3 · 2015-07-05 · math.CO · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BQXERSSX2F3VVZKNNT4VW6LDTL}

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	2026-05-18T01:31:19.795437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c2e48ca57d1775ae54d6cf95b79639ad5eb0c00599c11f135bd25a991bd6d32

Aliases

arxiv: 1507.01276 · arxiv_version: 1507.01276v3 · doi: 10.48550/arxiv.1507.01276 · pith_short_12: BQXERSSX2F3V · pith_short_16: BQXERSSX2F3VVZKN · pith_short_8: BQXERSSX

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/BQXERSSX2F3VVZKNNT4VW6LDTL \
  | 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: 0c2e48ca57d1775ae54d6cf95b79639ad5eb0c00599c11f135bd25a991bd6d32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ec3d5ac1c572daf191bef46aaf1f32150f1c87e0405ef95178e3307992a415d",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-05T21:33:27Z",
    "title_canon_sha256": "38cc1f0bafbbfa8e309e3a12b1c7b9e4a2ad07d320407ce8453c7f071074d98c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01276",
    "kind": "arxiv",
    "version": 3
  }
}