Pith Number

pith:I4GYN5PF

pith:2015:I4GYN5PFBIADALF2KLYDZPOO4E

not attested not anchored not stored refs pending

p-harmonic coordinates for H\"older metrics and applications

Mikko Salo, Tony Liimatainen, Vesa Julin

arxiv:1507.03874 v1 · 2015-07-14 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I4GYN5PFBIADALF2KLYDZPOO4E}

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	2026-05-18T01:36:52.353525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

470d86f5e50a00302cba52f03cbdcee103b66b87516cf809005199d7944d9a6e

Aliases

arxiv: 1507.03874 · arxiv_version: 1507.03874v1 · doi: 10.48550/arxiv.1507.03874 · pith_short_12: I4GYN5PFBIAD · pith_short_16: I4GYN5PFBIADALF2 · pith_short_8: I4GYN5PF

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/I4GYN5PFBIADALF2KLYDZPOO4E \
  | 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: 470d86f5e50a00302cba52f03cbdcee103b66b87516cf809005199d7944d9a6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c578922bb975a842acf3c4b9b996df894beb4042c6cf8a36dc74b969bf095633",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-07-14T14:56:17Z",
    "title_canon_sha256": "4bd4f2ff8948630d90bf79f48de46d705bd00bb0b35ffedba353e54fc0302cb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03874",
    "kind": "arxiv",
    "version": 1
  }
}