Pith Number

pith:2XMRGDGH

pith:2016:2XMRGDGHOXRF4EESB7AVVFYJQ2

not attested not anchored not stored refs pending

Cycle Spaces of Digraphs

Chris Godsil, Krystal Guo

arxiv:1609.09118 v1 · 2016-09-28 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2XMRGDGHOXRF4EESB7AVVFYJQ2}

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	2026-05-18T01:03:40.195384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5d9130cc775e25e10920fc15a970986bef25ccb272c4c853a85d24ebdad64c0

Aliases

arxiv: 1609.09118 · arxiv_version: 1609.09118v1 · doi: 10.48550/arxiv.1609.09118 · pith_short_12: 2XMRGDGHOXRF · pith_short_16: 2XMRGDGHOXRF4EES · pith_short_8: 2XMRGDGH

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/2XMRGDGHOXRF4EESB7AVVFYJQ2 \
  | 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: d5d9130cc775e25e10920fc15a970986bef25ccb272c4c853a85d24ebdad64c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9db00f054fc0804c149251c13598542f434da3b72f9749ff358511a9bb5c0487",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-28T21:10:33Z",
    "title_canon_sha256": "d96405044da1d7358b7be883b2e8af873c3faf4ad95dac08876b0c8f1f27bcb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09118",
    "kind": "arxiv",
    "version": 1
  }
}