Pith Number

pith:D3JMLEZS

pith:2003:D3JMLEZSXDCV5GCB7AIDX3ZFS2

not attested not anchored not stored refs pending

Counting words of minimum length in an automorphic orbit

Donghi Lee

arxiv:math/0311410 v3 · 2003-11-24 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D3JMLEZSXDCV5GCB7AIDX3ZFS2}

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	2026-05-18T04:23:11.857371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ed2c59332b8c55e9841f8103bef259682d9687b2fb2fd9704000f8e7d4e2af3

Aliases

arxiv: math/0311410 · arxiv_version: math/0311410v3 · doi: 10.48550/arxiv.math/0311410 · pith_short_12: D3JMLEZSXDCV · pith_short_16: D3JMLEZSXDCV5GCB · pith_short_8: D3JMLEZS

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/D3JMLEZSXDCV5GCB7AIDX3ZFS2 \
  | 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: 1ed2c59332b8c55e9841f8103bef259682d9687b2fb2fd9704000f8e7d4e2af3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b4c6c7e5988082ee4232ee3be1a958ea918fb41dc5b95bd6052dee9501f1baf",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2003-11-24T01:38:45Z",
    "title_canon_sha256": "16841b97f161ff9d2b0786ba903fdab50b1db5948ab343a2ab7f16f6a52e9b1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0311410",
    "kind": "arxiv",
    "version": 3
  }
}