Pith Number

pith:Y5ESV7QB

pith:2017:Y5ESV7QBUSIRPVGYSNF66G3YGI

not attested not anchored not stored refs pending

Improved estimates for polynomial Roth type theorems in finite fields

Dong Dong, Will Sawin, Xiaochun Li

arxiv:1709.00080 v3 · 2017-08-31 · 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{Y5ESV7QBUSIRPVGYSNF66G3YGI}

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	2026-05-18T00:33:58.525992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7492afe01a49117d4d8934bef1b783211cf2e0d9177b3a17ebc66566dd93c1e

Aliases

arxiv: 1709.00080 · arxiv_version: 1709.00080v3 · doi: 10.48550/arxiv.1709.00080 · pith_short_12: Y5ESV7QBUSIR · pith_short_16: Y5ESV7QBUSIRPVGY · pith_short_8: Y5ESV7QB

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/Y5ESV7QBUSIRPVGYSNF66G3YGI \
  | 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: c7492afe01a49117d4d8934bef1b783211cf2e0d9177b3a17ebc66566dd93c1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43779ac320d8969591e0a1be72d134d453e36e7ecea31c66815ab53fc5e55d3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-08-31T20:56:48Z",
    "title_canon_sha256": "c5e3f47f5ab178f03dc727f45399a5385e7d5be81b11182a137b88d452982ba6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.00080",
    "kind": "arxiv",
    "version": 3
  }
}