Pith Number

pith:ABRMQ2TV

pith:2005:ABRMQ2TVCQ6THJQW4H2R5WJILC

not attested not anchored not stored refs pending

The minimum dilatation of pseudo-Anosov 5-braids

Ji-Young Ham, Won Taek Song

arxiv:math/0506295 v3 · 2005-06-15 · math.GT · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ABRMQ2TVCQ6THJQW4H2R5WJILC}

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	2026-07-04T14:50:34.764796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0062c86a75143d33a616e1f51ed92858b18b79a8d99116c0ef0aa7114c2d7d4c

Aliases

arxiv: math/0506295 · arxiv_version: math/0506295v3 · doi: 10.48550/arxiv.math/0506295 · pith_short_12: ABRMQ2TVCQ6T · pith_short_16: ABRMQ2TVCQ6THJQW · pith_short_8: ABRMQ2TV

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/ABRMQ2TVCQ6THJQW4H2R5WJILC \
  | 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: 0062c86a75143d33a616e1f51ed92858b18b79a8d99116c0ef0aa7114c2d7d4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ede4a6ef6cfec962a5d7af4c397e93985fe11d16c0f7a68d41a298010ecc3f81",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2005-06-15T10:56:00Z",
    "title_canon_sha256": "5b7fb1b75571357bd831a019f71881bd0e139271253732dc42d9fadba18194f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0506295",
    "kind": "arxiv",
    "version": 3
  }
}