Pith Number

pith:DZUMUJJI

pith:2002:DZUMUJJI3KPZRWB56QSWJJPNDB

not attested not anchored not stored refs pending

Thompson's group F is not almost convex

Jennifer Taback, Sean Cleary

arxiv:math/0204249 v1 · 2002-04-19 · 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{DZUMUJJI3KPZRWB56QSWJJPNDB}

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	2026-05-18T00:20:49.869572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e68ca2528da9f98d83df42564a5ed184c5db0e0fdd0b7fea54629be76709382

Aliases

arxiv: math/0204249 · arxiv_version: math/0204249v1 · doi: 10.48550/arxiv.math/0204249 · pith_short_12: DZUMUJJI3KPZ · pith_short_16: DZUMUJJI3KPZRWB5 · pith_short_8: DZUMUJJI

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/DZUMUJJI3KPZRWB56QSWJJPNDB \
  | 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: 1e68ca2528da9f98d83df42564a5ed184c5db0e0fdd0b7fea54629be76709382

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0f597a62ec6b7b6d72c82df021ccd38498bc7daac03f1c347d5328a327627e2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2002-04-19T18:06:37Z",
    "title_canon_sha256": "9703cdec3fa4bfd33acb73c3a59925ec0bcfce51cfb5a2f2177200680bfdedde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0204249",
    "kind": "arxiv",
    "version": 1
  }
}