Pith Number

pith:QA5WEKPC

pith:2016:QA5WEKPCGJNP24BHS7RVDOQB3A

not attested not anchored not stored refs pending

Graph-Like Compacta: Characterizations and Eulerian Loops

Benjamin Espinoza, Max Pitz, Paul Gartside

arxiv:1609.00933 v1 · 2016-09-04 · math.CO · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QA5WEKPCGJNP24BHS7RVDOQB3A}

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	2026-05-18T01:06:19.524687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

803b6229e2325afd702797e351ba01d82dd3da7f9f3e071f5244611bf0acfb64

Aliases

arxiv: 1609.00933 · arxiv_version: 1609.00933v1 · doi: 10.48550/arxiv.1609.00933 · pith_short_12: QA5WEKPCGJNP · pith_short_16: QA5WEKPCGJNP24BH · pith_short_8: QA5WEKPC

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/QA5WEKPCGJNP24BHS7RVDOQB3A \
  | 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: 803b6229e2325afd702797e351ba01d82dd3da7f9f3e071f5244611bf0acfb64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e780639588ceecfbfe8e6592fa27470c9ba931207165bba3064f6398236b2af",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-04T13:45:59Z",
    "title_canon_sha256": "9d11a642408f833a7eed59b270a9ce61756589478a7dc9e0db2acace9b49ddce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00933",
    "kind": "arxiv",
    "version": 1
  }
}