Pith Number

pith:ARS4QEH7

pith:2009:ARS4QEH7NDO7DAYUCK67DKO454

not attested not anchored not stored refs pending

Vanishing of universal characteristic classes for handlebody groups and boundary bundles

Jeffrey Giansiracusa, Ulrike Tillmann

arxiv:0910.5367 v2 · 2009-10-28 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ARS4QEH7NDO7DAYUCK67DKO454}

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	2026-05-18T04:28:20.467286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0465c810ff68ddf1831412bdf1a9dcef2cfe13c7252238c3a8913f7a460a51aa

Aliases

arxiv: 0910.5367 · arxiv_version: 0910.5367v2 · doi: 10.48550/arxiv.0910.5367 · pith_short_12: ARS4QEH7NDO7 · pith_short_16: ARS4QEH7NDO7DAYU · pith_short_8: ARS4QEH7

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/ARS4QEH7NDO7DAYUCK67DKO454 \
  | 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: 0465c810ff68ddf1831412bdf1a9dcef2cfe13c7252238c3a8913f7a460a51aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a996a5cee95da76691997024c97921f1ec85076c09debc3b4bb0b3ed41a4bf17",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-10-28T13:01:43Z",
    "title_canon_sha256": "ea68f515eec6e48004b124d1c8227157c8e9c5691ffa079700e79b3f43e1e4c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.5367",
    "kind": "arxiv",
    "version": 2
  }
}