Pith Number

pith:3VXWQOZ6

pith:2015:3VXWQOZ6FUOUBZBLHUATYXXO25

not attested not anchored not stored refs pending

Energy integrals and small points for the Arakelov height

Clayton Petsche, Igor Pritsker, Paul Fili

arxiv:1507.01900 v1 · 2015-07-07 · 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{3VXWQOZ6FUOUBZBLHUATYXXO25}

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	2026-05-18T01:37:12.106702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd6f683b3e2d1d40e42b3d013c5eeed74d0d1a960a4c3bdc9693011227252d28

Aliases

arxiv: 1507.01900 · arxiv_version: 1507.01900v1 · doi: 10.48550/arxiv.1507.01900 · pith_short_12: 3VXWQOZ6FUOU · pith_short_16: 3VXWQOZ6FUOUBZBL · pith_short_8: 3VXWQOZ6

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/3VXWQOZ6FUOUBZBLHUATYXXO25 \
  | 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: dd6f683b3e2d1d40e42b3d013c5eeed74d0d1a960a4c3bdc9693011227252d28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "052deb569b5a8971cc2498b3c71c0b72a0ae22be739a765db0c301ed1c4699aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-07-07T17:55:20Z",
    "title_canon_sha256": "1bf7031403149a09b3d165a6259ca1b72c26529a4da9654bd3158b03bac8a3f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01900",
    "kind": "arxiv",
    "version": 1
  }
}