Pith Number

pith:3VRGV2ZF

pith:2011:3VRGV2ZF7B7DQA52HPGQXC427H

not attested not anchored not stored refs pending

The good pants homology and the Ehrenpreis conjecture

Jeremy Kahn, Vladimir Markovic

arxiv:1101.1330 v4 · 2011-01-06 · 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{3VRGV2ZF7B7DQA52HPGQXC427H}

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	2026-05-18T02:23:00.339289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd626aeb25f87e3803ba3bcd0b8b9af9ea0b360f6aa49f299e1f41415219c975

Aliases

arxiv: 1101.1330 · arxiv_version: 1101.1330v4 · doi: 10.48550/arxiv.1101.1330 · pith_short_12: 3VRGV2ZF7B7D · pith_short_16: 3VRGV2ZF7B7DQA52 · pith_short_8: 3VRGV2ZF

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/3VRGV2ZF7B7DQA52HPGQXC427H \
  | 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: dd626aeb25f87e3803ba3bcd0b8b9af9ea0b360f6aa49f299e1f41415219c975

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0716919a5ec852d13845011da5883281fed834c915b33202cbd4443ea270555",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-01-06T22:38:41Z",
    "title_canon_sha256": "b1ed58b473e4c1efc5ac30d0d164f460134756333d617f10cfa59710f33d4c7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1330",
    "kind": "arxiv",
    "version": 4
  }
}