Pith Number

pith:4KRFUBWK

pith:2013:4KRFUBWKDDLYMG6LAYH6RZMLE2

not attested not anchored not stored refs pending

Covering with Excess One: Seeing the Topology

Han Wang

arxiv:1312.7477 v1 · 2013-12-28 · math.GN · cs.CG · cs.RO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4KRFUBWKDDLYMG6LAYH6RZMLE2}

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	2026-05-18T03:03:43.381676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2a25a06ca18d7861bcb060fe8e58b26b1a9d981ef726f22f78d8f179abebe36

Aliases

arxiv: 1312.7477 · arxiv_version: 1312.7477v1 · doi: 10.48550/arxiv.1312.7477 · pith_short_12: 4KRFUBWKDDLY · pith_short_16: 4KRFUBWKDDLYMG6L · pith_short_8: 4KRFUBWK

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/4KRFUBWKDDLYMG6LAYH6RZMLE2 \
  | 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: e2a25a06ca18d7861bcb060fe8e58b26b1a9d981ef726f22f78d8f179abebe36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70c69dc55a4d525cbe6881e2f69d7aa65d39dd26c463103a212e068134f3bf63",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.RO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2013-12-28T21:52:43Z",
    "title_canon_sha256": "316dd35b8dca8fe9a64899ac64769fbd838f6bb126608c605ac09f3702153d05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7477",
    "kind": "arxiv",
    "version": 1
  }
}