Pith Number

pith:2GTDZYQ6

pith:2005:2GTDZYQ65EGICYDDYH6V2TDNYF

not attested not anchored not stored refs pending

Bounding right-arm rotation distances

Jennifer Taback, Sean Cleary

arxiv:math/0506413 v2 · 2005-06-20 · 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{2GTDZYQ65EGICYDDYH6V2TDNYF}

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	2026-05-18T00:20:49.689153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1a63ce21ee90c816063c1fd5d4c6dc15ee38204a57d6cf27e34d57ddccfebb8

Aliases

arxiv: math/0506413 · arxiv_version: math/0506413v2 · doi: 10.48550/arxiv.math/0506413 · pith_short_12: 2GTDZYQ65EGI · pith_short_16: 2GTDZYQ65EGICYDD · pith_short_8: 2GTDZYQ6

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/2GTDZYQ65EGICYDDYH6V2TDNYF \
  | 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: d1a63ce21ee90c816063c1fd5d4c6dc15ee38204a57d6cf27e34d57ddccfebb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef95290d0409426afb062f0a9cc9c0f2b0b248d39523441a52c3d36db0c76a53",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2005-06-20T20:54:27Z",
    "title_canon_sha256": "3a84ad5e036d06a7af16910ca5b8e641e138585b57263052d79283984aa86058"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0506413",
    "kind": "arxiv",
    "version": 2
  }
}