Pith Number

pith:YDE5DRN7

pith:2026:YDE5DRN757BN4GNKENPWNAPKII

not attested not anchored not stored refs pending

From 12 to 6: Sharpening the Three-Charge Bound in Maxwell's Problem

A.Gabrielov, B.Shapiro, Dm.Novikov, T.Novikov

arxiv:2607.28785 v1 · 2026-07-30 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YDE5DRN757BN4GNKENPWNAPKII}

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	2026-08-03T00:12:52.576173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0c9d1c5bfefc2de19aa235f6681ea421bff3bbe85ff20bd4a943bf66c5f2f25

Aliases

arxiv: 2607.28785 · arxiv_version: 2607.28785v1 · doi: 10.48550/arxiv.2607.28785 · pith_short_12: YDE5DRN757BN · pith_short_16: YDE5DRN757BN4GNK · pith_short_8: YDE5DRN7

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/YDE5DRN757BN4GNKENPWNAPKII \
  | 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: c0c9d1c5bfefc2de19aa235f6681ea421bff3bbe85ff20bd4a943bf66c5f2f25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e055d823fbd9d1aec2d63ba8db3ef1063220a8424e33027af2298f1c1375d2ee",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-07-30T19:17:04Z",
    "title_canon_sha256": "7ce203421b9857bfed8a9f0be99673d204b15aee085b4ccc9d8d7ea6045be092"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28785",
    "kind": "arxiv",
    "version": 1
  }
}