Pith Number

pith:YZJDDCHF

pith:2004:YZJDDCHFTUL3FBMPNGJCLQHRPB

not attested not anchored not stored refs pending

The Algebra of Strand Splitting. I. A Braided Version of Thompson's Group V

Matthew G. Brin

arxiv:math/0406042 v1 · 2004-06-02 · 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{YZJDDCHFTUL3FBMPNGJCLQHRPB}

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	2026-05-18T03:14:18.013917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6523188e59d17b2858f699225c0f17863dd16070dd3ae44cd21ba193e337daa

Aliases

arxiv: math/0406042 · arxiv_version: math/0406042v1 · doi: 10.48550/arxiv.math/0406042 · pith_short_12: YZJDDCHFTUL3 · pith_short_16: YZJDDCHFTUL3FBMP · pith_short_8: YZJDDCHF

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/YZJDDCHFTUL3FBMPNGJCLQHRPB \
  | 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: c6523188e59d17b2858f699225c0f17863dd16070dd3ae44cd21ba193e337daa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72d06770c28f5f2958f6ef75de7dcfb234678d97c9f95b10a6c0594839a2c28a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2004-06-02T18:16:33Z",
    "title_canon_sha256": "8e01b8b13bfbff61cb17ab47b02f712bdae68026aa16858b2eb57cf912cffd78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406042",
    "kind": "arxiv",
    "version": 1
  }
}