Pith Number

pith:5YA2QCWO

pith:2005:5YA2QCWOSZ6VHYA76RXHCFG5G4

not attested not anchored not stored refs pending

Combinatorial and metric properties of Thompson's group T

Jennifer Taback, Jose Burillo, Melanie Stein, Sean Cleary

arxiv:math/0503670 v2 · 2005-03-29 · 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{5YA2QCWOSZ6VHYA76RXHCFG5G4}

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	2026-05-18T00:20:49.722867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee01a80ace967d53e01ff46e7114dd371f13416a87f4f00ff97e9be6966487ee

Aliases

arxiv: math/0503670 · arxiv_version: math/0503670v2 · doi: 10.48550/arxiv.math/0503670 · pith_short_12: 5YA2QCWOSZ6V · pith_short_16: 5YA2QCWOSZ6VHYA7 · pith_short_8: 5YA2QCWO

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/5YA2QCWOSZ6VHYA76RXHCFG5G4 \
  | 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: ee01a80ace967d53e01ff46e7114dd371f13416a87f4f00ff97e9be6966487ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3037c0af2dd99f16f7bf8b79906139cbfe50a546f433462cd9b9a7132ca0cba2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2005-03-29T10:40:17Z",
    "title_canon_sha256": "26f6b993e4175cb731722cfd6723ae32342bfbc0d6a4210a9abcff1ecdbd8645"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503670",
    "kind": "arxiv",
    "version": 2
  }
}