Pith Number

pith:WUSVYEX2

pith:2018:WUSVYEX2JSTW4BIEWTNH5KRIVK

not attested not anchored not stored refs pending

Finite cuts and CAT(0) boundaries

Eric Swenson, Panos Papasoglu

arxiv:1807.04086 v1 · 2018-07-11 · 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{WUSVYEX2JSTW4BIEWTNH5KRIVK}

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	2026-05-18T00:10:58.043973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5255c12fa4ca76e0504b4da7eaa28aa910e699fad1865e32cb7e5158cb448f1

Aliases

arxiv: 1807.04086 · arxiv_version: 1807.04086v1 · doi: 10.48550/arxiv.1807.04086 · pith_short_12: WUSVYEX2JSTW · pith_short_16: WUSVYEX2JSTW4BIE · pith_short_8: WUSVYEX2

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/WUSVYEX2JSTW4BIEWTNH5KRIVK \
  | 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: b5255c12fa4ca76e0504b4da7eaa28aa910e699fad1865e32cb7e5158cb448f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8f9601c37e5ee9e7b6e2d5a27cb2d692e84081a5df10ef313361574f203a34e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-07-11T11:44:06Z",
    "title_canon_sha256": "2fc597fbe2f383c83eadd93645abf264d206967a6ca17bc745bb0b3560416c44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.04086",
    "kind": "arxiv",
    "version": 1
  }
}