Pith Number

pith:47DSEPS2

pith:2001:47DSEPS26XU4RRU3ELDABST4Y6

not attested not anchored not stored refs pending

Connes' Distance of One-Dimensional Lattices: General Cases

Jian Dai, Xing-Chang Song

arxiv:math-ph/0104002 v1 · 2001-04-01 · math-ph · hep-lat · hep-th · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{47DSEPS26XU4RRU3ELDABST4Y6}

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	2026-05-18T00:25:46.085838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7c7223e5af5e9c8c69b22c600ca7cc7b28fc38d961a377ef0bc116093406fcb

Aliases

arxiv: math-ph/0104002 · arxiv_version: math-ph/0104002v1 · doi: 10.48550/arxiv.math-ph/0104002 · pith_short_12: 47DSEPS26XU4 · pith_short_16: 47DSEPS26XU4RRU3 · pith_short_8: 47DSEPS2

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/47DSEPS26XU4RRU3ELDABST4Y6 \
  | 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: e7c7223e5af5e9c8c69b22c600ca7cc7b28fc38d961a377ef0bc116093406fcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0ba300bf6fdddb32d7f799b150207c9e02af89010dc58a658fa0b2d2ddd9d46",
    "cross_cats_sorted": [
      "hep-lat",
      "hep-th",
      "math.MP",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2001-04-01T17:37:03Z",
    "title_canon_sha256": "6bdd8c3a2fb759c386dcdbdb6c06896693d204a021b343606c2148041f645104"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0104002",
    "kind": "arxiv",
    "version": 1
  }
}