Pith Number

pith:FXJFHZAR

pith:2007:FXJFHZAREMZYUDH5DLASYYGR2F

not attested not anchored not stored refs pending

Metric properties of the braided Thompson's groups

Jos\'e Burillo, Sean Cleary

arxiv:0710.5518 v1 · 2007-10-29 · 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{FXJFHZAREMZYUDH5DLASYYGR2F}

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	2026-05-18T00:20:54.339652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dd253e41123338a0cfd1ac12c60d1d1764b1f6654434f34c651d3576d20b3c5

Aliases

arxiv: 0710.5518 · arxiv_version: 0710.5518v1 · doi: 10.48550/arxiv.0710.5518 · pith_short_12: FXJFHZAREMZY · pith_short_16: FXJFHZAREMZYUDH5 · pith_short_8: FXJFHZAR

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/FXJFHZAREMZYUDH5DLASYYGR2F \
  | 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: 2dd253e41123338a0cfd1ac12c60d1d1764b1f6654434f34c651d3576d20b3c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0ddbd8aa5d4806ed20e5730938c00c468edf6f8fdd2551a3a7d88379d8dcca9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2007-10-29T20:06:35Z",
    "title_canon_sha256": "e267f6a93a3bdbb24869e295cacfc6ba673db7a21abe69b4716bc2a09e87121f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.5518",
    "kind": "arxiv",
    "version": 1
  }
}