Pith Number

pith:FQ54YHQO

pith:2002:FQ54YHQO7FVQN6Z4TO7XC6WJPR

not attested not anchored not stored refs pending

Geometric quasi-isometric embeddings into Thompson's group F

Jennifer Taback, Sean Cleary

arxiv:math/0211243 v2 · 2002-11-15 · 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{FQ54YHQO7FVQN6Z4TO7XC6WJPR}

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	2026-05-18T00:20:49.828897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c3bcc1e0ef96b06fb3c9bbf717ac97c745d54f34dc8af3e9c7fd1a9688f61b1

Aliases

arxiv: math/0211243 · arxiv_version: math/0211243v2 · doi: 10.48550/arxiv.math/0211243 · pith_short_12: FQ54YHQO7FVQ · pith_short_16: FQ54YHQO7FVQN6Z4 · pith_short_8: FQ54YHQO

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/FQ54YHQO7FVQN6Z4TO7XC6WJPR \
  | 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: 2c3bcc1e0ef96b06fb3c9bbf717ac97c745d54f34dc8af3e9c7fd1a9688f61b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aee411e6bc2ef749b6d24336667bac8e1221f4e5390cc2feb0db64247b3fc48a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2002-11-15T18:08:18Z",
    "title_canon_sha256": "e476a076ee01f3b50822714c3bd8b0b439f8926575405bee9a7b975113a64c81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0211243",
    "kind": "arxiv",
    "version": 2
  }
}