Pith Number

pith:63U7Q3XY

pith:2026:63U7Q3XY2R5ZXGQHMI2MNJFHLW

not attested not anchored not stored refs pending

Erd\H{o}s--Falconer distance conjecture from an analytic perspective

Dung The Tran, Le Quang Ham

arxiv:2607.05926 v1 · 2026-07-07 · 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{63U7Q3XY2R5ZXGQHMI2MNJFHLW}

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	2026-07-08T01:18:50.484406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6e9f86ef8d47b9b9a076234c6a4a75db4b2a1f1c32d0b667bea747c1d6d54e1

Aliases

arxiv: 2607.05926 · arxiv_version: 2607.05926v1 · doi: 10.48550/arxiv.2607.05926 · pith_short_12: 63U7Q3XY2R5Z · pith_short_16: 63U7Q3XY2R5ZXGQH · pith_short_8: 63U7Q3XY

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/63U7Q3XY2R5ZXGQHMI2MNJFHLW \
  | 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: f6e9f86ef8d47b9b9a076234c6a4a75db4b2a1f1c32d0b667bea747c1d6d54e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25a9976380cc4741a34eae357ce902a718afb1b88929d7c5a3abe59dd2cdcc45",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-07T07:30:38Z",
    "title_canon_sha256": "5a02cf7b7ab21c2609f032e013f2d490b232dd529626263e36f89a53213822a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05926",
    "kind": "arxiv",
    "version": 1
  }
}