Pith Number

pith:FITHORIR

pith:1998:FITHORIR5XE2EUMGES2TF7T4H7

not attested not anchored not stored refs pending

Metrics and embeddings of generalizations of Thompson's group F

Jose Burillo, Melanie Stein, Sean Cleary

arxiv:math/9809185 v3 · 1998-09-30 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FITHORIR5XE2EUMGES2TF7T4H7}

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	2026-05-18T00:20:07.957724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a26774511edc9a2518624b532fe7c3fef1dcf0c0b4dc119481264e7e46a20cc

Aliases

arxiv: math/9809185 · arxiv_version: math/9809185v3 · doi: 10.48550/arxiv.math/9809185 · pith_short_12: FITHORIR5XE2 · pith_short_16: FITHORIR5XE2EUMG · pith_short_8: FITHORIR

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/FITHORIR5XE2EUMGES2TF7T4H7 \
  | 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: 2a26774511edc9a2518624b532fe7c3fef1dcf0c0b4dc119481264e7e46a20cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfc001aae71f9a558cce7a677a01b4130e5f75ca7343a7307932dd14e91131db",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "1998-09-30T16:43:21Z",
    "title_canon_sha256": "56d1c57c006d1a862acbabfc35a9d463fad554e344714c3275b2f6af099376c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9809185",
    "kind": "arxiv",
    "version": 3
  }
}