Pith Number

pith:HLPYO7L7

pith:2015:HLPYO7L754W75CDDNJC7ORQ3HT

not attested not anchored not stored refs pending

The Dehn function of Richard Thompson's group $T$

Junhuai Zhang, Kun Wang, Zhu-Jun Zheng

arxiv:1511.04148 v2 · 2015-11-13 · 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{HLPYO7L754W75CDDNJC7ORQ3HT}

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	2026-05-18T01:26:31.018120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3adf877d7fef2dfe88636a45f7461b3cf78010e4783673b4621c1c22695b2245

Aliases

arxiv: 1511.04148 · arxiv_version: 1511.04148v2 · doi: 10.48550/arxiv.1511.04148 · pith_short_12: HLPYO7L754W7 · pith_short_16: HLPYO7L754W75CDD · pith_short_8: HLPYO7L7

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/HLPYO7L754W75CDDNJC7ORQ3HT \
  | 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: 3adf877d7fef2dfe88636a45f7461b3cf78010e4783673b4621c1c22695b2245

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d0ab7c0517c316eb2647a25d2fa71a2b5fa0af97c38f8704bab592ecd504a0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-11-13T03:27:28Z",
    "title_canon_sha256": "1a12f51bfb92c8b29ef30b58f4c9e32a720645bde866088b5060ae03bb71fe41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04148",
    "kind": "arxiv",
    "version": 2
  }
}