Pith Number

pith:GBO7CJX5

pith:2015:GBO7CJX5ZMK53RUPRHVGUYPA4R

not attested not anchored not stored refs pending

Spectral invariants of distance functions

Suguru Ishikawa

arxiv:1507.02760 v2 · 2015-07-10 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GBO7CJX5ZMK53RUPRHVGUYPA4R}

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	2026-05-18T01:29:31.471745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

305df126fdcb15ddc68f89ea6a61e0e460272c0aca0ff8d2466228b71c8761c1

Aliases

arxiv: 1507.02760 · arxiv_version: 1507.02760v2 · doi: 10.48550/arxiv.1507.02760 · pith_short_12: GBO7CJX5ZMK5 · pith_short_16: GBO7CJX5ZMK53RUP · pith_short_8: GBO7CJX5

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/GBO7CJX5ZMK53RUPRHVGUYPA4R \
  | 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: 305df126fdcb15ddc68f89ea6a61e0e460272c0aca0ff8d2466228b71c8761c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17b1dbf650a0f1d1268b5ce0e331880c76174a26e4e3cf454f6c5517cb68ff3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-07-10T01:00:33Z",
    "title_canon_sha256": "5d6cc374a6703e32f31d52ea2ac3d406c3f3d6646b2e531f9bf078e66581e578"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02760",
    "kind": "arxiv",
    "version": 2
  }
}