Pith Number

pith:VNM4ZEOW

pith:2015:VNM4ZEOWW72BNXGRO7TGM7DAUN

not attested not anchored not stored refs pending

Conjugacy invariants for Brouwer mapping classes

Juliette Bavard

arxiv:1507.02960 v1 · 2015-07-10 · math.DS · 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{VNM4ZEOWW72BNXGRO7TGM7DAUN}

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	2026-05-18T01:19:02.155302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab59cc91d6b7f416dcd177e6667c60a35c6876e3adc84385b310b265d67632ac

Aliases

arxiv: 1507.02960 · arxiv_version: 1507.02960v1 · doi: 10.48550/arxiv.1507.02960 · pith_short_12: VNM4ZEOWW72B · pith_short_16: VNM4ZEOWW72BNXGR · pith_short_8: VNM4ZEOW

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/VNM4ZEOWW72BNXGRO7TGM7DAUN \
  | 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: ab59cc91d6b7f416dcd177e6667c60a35c6876e3adc84385b310b265d67632ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61b4b1b4035b44143fa38fbfed549e87dbdadfdcca984c5f4abd9beb8ab69f4d",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-07-10T16:44:06Z",
    "title_canon_sha256": "ffc2250317f1d65dd9b2f26ec71e8e48326ae96679e59f28f6de8d76d5883759"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02960",
    "kind": "arxiv",
    "version": 1
  }
}