Pith Number

pith:V2VYWFAD

pith:2018:V2VYWFADWCQSFZU6PBK3BSP37H

not attested not anchored not stored refs pending

Garside theory and subsurfaces: some examples in braid groups

Bert Wiest, Saul Schleimer

arxiv:1807.01500 v3 · 2018-07-04 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V2VYWFADWCQSFZU6PBK3BSP37H}

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	2026-05-17T23:49:33.514918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aeab8b1403b0a122e69e7855b0c9fbf9f1efcf1a1fff1e8d2e0bd037bba39413

Aliases

arxiv: 1807.01500 · arxiv_version: 1807.01500v3 · doi: 10.48550/arxiv.1807.01500 · pith_short_12: V2VYWFADWCQS · pith_short_16: V2VYWFADWCQSFZU6 · pith_short_8: V2VYWFAD

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/V2VYWFADWCQSFZU6PBK3BSP37H \
  | 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: aeab8b1403b0a122e69e7855b0c9fbf9f1efcf1a1fff1e8d2e0bd037bba39413

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b35af2c831e7c35a9b34adbbcc22ea41fbf762691a90c746f2703a25264914e",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-07-04T09:42:46Z",
    "title_canon_sha256": "f66be8a482090c4b2613e87506ed504486683ae9936e045c8ed5be29c366a40a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.01500",
    "kind": "arxiv",
    "version": 3
  }
}