Pith Number

pith:MX5YTFFM

pith:2016:MX5YTFFMUAAYMEPRA4FJDHLYJL

not attested not anchored not stored refs pending

Nonlinear Roth type theorems in finite fields

Jean Bourgain, Mei-Chu Chang

arxiv:1608.05448 v1 · 2016-08-18 · 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{MX5YTFFMUAAYMEPRA4FJDHLYJL}

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	2026-05-18T01:08:29.442231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65fb8994aca0018611f1070a919d784af444fba61666898f387b0341964f4de2

Aliases

arxiv: 1608.05448 · arxiv_version: 1608.05448v1 · doi: 10.48550/arxiv.1608.05448 · pith_short_12: MX5YTFFMUAAY · pith_short_16: MX5YTFFMUAAYMEPR · pith_short_8: MX5YTFFM

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/MX5YTFFMUAAYMEPRA4FJDHLYJL \
  | 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: 65fb8994aca0018611f1070a919d784af444fba61666898f387b0341964f4de2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3358452a1890b2b6ff10e203537158539e012f8477c89e30fd85dc39a566dc92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-08-18T22:57:55Z",
    "title_canon_sha256": "9e55b3d3a4295ca06f11937badbc902d064ea6a7c3e580bff32e521a90c7c00a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05448",
    "kind": "arxiv",
    "version": 1
  }
}