Pith Number

pith:45NYJVZH

pith:2001:45NYJVZHTWBVCDBCUY2JS2F6O3

not attested not anchored not stored refs pending

Two-transitive Lie groups

Linus Kramer

arxiv:math/0106108 v3 · 2001-06-13 · math.DG · 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{45NYJVZHTWBVCDBCUY2JS2F6O3}

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	2026-07-04T14:35:22.796867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e75b84d7279d83510c22a6349968be76db6412713af3eeee815ae6fc5040f860

Aliases

arxiv: math/0106108 · arxiv_version: math/0106108v3 · doi: 10.48550/arxiv.math/0106108 · pith_short_12: 45NYJVZHTWBV · pith_short_16: 45NYJVZHTWBVCDBC · pith_short_8: 45NYJVZH

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/45NYJVZHTWBVCDBCUY2JS2F6O3 \
  | 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: e75b84d7279d83510c22a6349968be76db6412713af3eeee815ae6fc5040f860

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19b5f9da11f26637b48de68727b1dfc29e357f3794dcacf9e86eeb7329c8bbec",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2001-06-13T11:15:46Z",
    "title_canon_sha256": "163f6618e3a77653c6df53628ab141f764288bfc4004365a7a5d5060ba4d1222"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0106108",
    "kind": "arxiv",
    "version": 3
  }
}