Pith Number

pith:435ZDOSX

pith:2017:435ZDOSXG4UVUAGYKL7YGEDH6Y

not attested not anchored not stored refs pending

Rigidity of warped cones and coarse geometry of expanders

David Fisher, Thang Nguyen, Wouter van Limbeek

arxiv:1710.03085 v2 · 2017-10-09 · math.MG · math.CO · math.GR · 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{435ZDOSXG4UVUAGYKL7YGEDH6Y}

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	2026-05-18T00:26:36.337145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6fb91ba5737295a00d852ff831067f60aeb9f40890c65cd7ff22d2a8daf2e7d

Aliases

arxiv: 1710.03085 · arxiv_version: 1710.03085v2 · doi: 10.48550/arxiv.1710.03085 · pith_short_12: 435ZDOSXG4UV · pith_short_16: 435ZDOSXG4UVUAGY · pith_short_8: 435ZDOSX

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/435ZDOSXG4UVUAGYKL7YGEDH6Y \
  | 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: e6fb91ba5737295a00d852ff831067f60aeb9f40890c65cd7ff22d2a8daf2e7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5e7acc1ba756e4c3c01b82e66f64c9a7da1eb8720c191aea50c6b7d115583b5",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-10-09T13:44:24Z",
    "title_canon_sha256": "08d8f3efdf45df0704bb3e929b58df980bfbbfb61348d3d078387ed2276cfbb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.03085",
    "kind": "arxiv",
    "version": 2
  }
}