Pith Number

pith:LDRMFWZH

pith:2011:LDRMFWZHNIFOCWQZSX774MMKVJ

not attested not anchored not stored refs pending

Simple expressions for the long walk distance

Pavel Chebotarev, R. Balaji, R. B. Bapat

arxiv:1112.0088 v4 · 2011-12-01 · math.CO · cs.DM · math.MG · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LDRMFWZHNIFOCWQZSX774MMKVJ}

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	2026-05-18T03:46:03.663909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58e2c2db276a0ae15a1995fffe318aaa745a4bdb76e848896add8eb2bf0a749f

Aliases

arxiv: 1112.0088 · arxiv_version: 1112.0088v4 · doi: 10.48550/arxiv.1112.0088 · pith_short_12: LDRMFWZHNIFO · pith_short_16: LDRMFWZHNIFOCWQZ · pith_short_8: LDRMFWZH

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/LDRMFWZHNIFOCWQZSX774MMKVJ \
  | 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: 58e2c2db276a0ae15a1995fffe318aaa745a4bdb76e848896add8eb2bf0a749f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64e55659ee712df109c50af52af70f8385c60ea51549cf258daf69c08d8313b0",
    "cross_cats_sorted": [
      "cs.DM",
      "math.MG",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-12-01T05:39:33Z",
    "title_canon_sha256": "20585e4d49373348b4c6cc1466da544bed6abea33597f7a75e12d2953933ae53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0088",
    "kind": "arxiv",
    "version": 4
  }
}