Pith Number

pith:4WT4B5OF

pith:2018:4WT4B5OFLOW4UYGJS7YF2RM7IY

not attested not anchored not stored refs pending

Clock theorems for triangulated surfaces

Camden Hine, Tam\'as K\'alm\'an

arxiv:1808.06091 v1 · 2018-08-18 · math.CO · 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{4WT4B5OFLOW4UYGJS7YF2RM7IY}

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	2026-05-18T00:07:46.129785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5a7c0f5c55badca60c997f05d459f462779f48413bf30359621b667a8a2559c

Aliases

arxiv: 1808.06091 · arxiv_version: 1808.06091v1 · doi: 10.48550/arxiv.1808.06091 · pith_short_12: 4WT4B5OFLOW4 · pith_short_16: 4WT4B5OFLOW4UYGJ · pith_short_8: 4WT4B5OF

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/4WT4B5OFLOW4UYGJS7YF2RM7IY \
  | 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: e5a7c0f5c55badca60c997f05d459f462779f48413bf30359621b667a8a2559c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fcac21cee13fedfb4c10cee6022b0c43f8d7e026c2cfb10a660dc1a850f7c58",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-18T15:17:04Z",
    "title_canon_sha256": "9ace511a62f91b367ff5547e3ec74560512599ad2348c5e6d53924b94f8c8a0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.06091",
    "kind": "arxiv",
    "version": 1
  }
}