Pith Number

pith:JZD4ZSOD

pith:2001:JZD4ZSODLY522VVGQRGRPJ3BHH

not attested not anchored not stored refs pending

Primitivity preserving endomorphisms of free groups

Donghi Lee

arxiv:math/0103110 v1 · 2001-03-16 · 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{JZD4ZSODLY522VVGQRGRPJ3BHH}

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	2026-05-18T04:23:11.865158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e47ccc9c35e3bad56a6844d17a76139ec44240a83b5dddd167c1937d04831c8

Aliases

arxiv: math/0103110 · arxiv_version: math/0103110v1 · doi: 10.48550/arxiv.math/0103110 · pith_short_12: JZD4ZSODLY52 · pith_short_16: JZD4ZSODLY522VVG · pith_short_8: JZD4ZSOD

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/JZD4ZSODLY522VVGQRGRPJ3BHH \
  | 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: 4e47ccc9c35e3bad56a6844d17a76139ec44240a83b5dddd167c1937d04831c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30bdd12daa9113933380881eb00625849dc7da3c8180e315c9130bb1598f1235",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2001-03-16T23:36:41Z",
    "title_canon_sha256": "d42a1ed5ab0b192fbee0decad2172465357bf0dea08661650cd2a6feaa796677"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0103110",
    "kind": "arxiv",
    "version": 1
  }
}