Pith Number

pith:HMDCEWDX

pith:2016:HMDCEWDX5YAWS57JBEFXUQNXPG

not attested not anchored not stored refs pending

A short proof of Rudnev's point-plane incidence bound

Frank de Zeeuw

arxiv:1612.02719 v1 · 2016-12-08 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HMDCEWDX5YAWS57JBEFXUQNXPG}

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.

Cited by

1 paper in Pith

Entropy lower bounds and sum-product phenomena

Receipt and verification

First computed	2026-05-18T00:55:32.936095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b06225877ee016977e9090b7a41b77992919eea4385d85d155bc4a45bd05319

Aliases

arxiv: 1612.02719 · arxiv_version: 1612.02719v1 · doi: 10.48550/arxiv.1612.02719 · pith_short_12: HMDCEWDX5YAW · pith_short_16: HMDCEWDX5YAWS57J · pith_short_8: HMDCEWDX

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/HMDCEWDX5YAWS57JBEFXUQNXPG \
  | 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: 3b06225877ee016977e9090b7a41b77992919eea4385d85d155bc4a45bd05319

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c378d1d95138cbe812ed265b6fa084bc1aca99bf90fb98a2be7c2d20128bd20",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-08T16:38:20Z",
    "title_canon_sha256": "b6d83016e48bf65d7fb8c5a7e0b31a0777075bfb642b518625bdebfce25261ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02719",
    "kind": "arxiv",
    "version": 1
  }
}