Pith Number

pith:WYHYFSWK

pith:2010:WYHYFSWKJYUMR3MEPYLHTR2XIN

not attested not anchored not stored refs pending

Monodromy Substitutions and Rational Blowdowns

Hisaaki Endo, Jeremy Van Horn-Morris, Thomas E. Mark

arxiv:1004.3762 v2 · 2010-04-21 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WYHYFSWKJYUMR3MEPYLHTR2XIN}

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	2026-05-18T02:58:02.232621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b60f82caca4e28c8ed847e1679c757435db7e5397634cf0b99f09cc921c57161

Aliases

arxiv: 1004.3762 · arxiv_version: 1004.3762v2 · doi: 10.48550/arxiv.1004.3762 · pith_short_12: WYHYFSWKJYUM · pith_short_16: WYHYFSWKJYUMR3ME · pith_short_8: WYHYFSWK

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/WYHYFSWKJYUMR3MEPYLHTR2XIN \
  | 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: b60f82caca4e28c8ed847e1679c757435db7e5397634cf0b99f09cc921c57161

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32e7cb08a6efa1498186c5e9194ffa3101c99eac2ca4e09631194696077b42dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-04-21T18:17:14Z",
    "title_canon_sha256": "628772c85ef0806895d7a2a265286f475083f81c6502903dfb24618b70eb30c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3762",
    "kind": "arxiv",
    "version": 2
  }
}