Pith Number

pith:DEP46IF2

pith:2018:DEP46IF223CWGZLAAIAEUCUUBD

not attested not anchored not stored refs pending

Relation between the H-rank of a mixed graph and the rank of its underlying graph

Chen Chen, Minjie Zhang, Shuchao Li

arxiv:1812.05309 v2 · 2018-12-13 · 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{DEP46IF223CWGZLAAIAEUCUUBD}

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	2026-05-17T23:58:18.637175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

191fcf20bad6c563656002004a0a9408d05fd839b4b2bc7a6aabfc18a9d87eb4

Aliases

arxiv: 1812.05309 · arxiv_version: 1812.05309v2 · doi: 10.48550/arxiv.1812.05309 · pith_short_12: DEP46IF223CW · pith_short_16: DEP46IF223CWGZLA · pith_short_8: DEP46IF2

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/DEP46IF223CWGZLAAIAEUCUUBD \
  | 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: 191fcf20bad6c563656002004a0a9408d05fd839b4b2bc7a6aabfc18a9d87eb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff8f9b5f77d2d3e9355216896a07f111e7e29b24ee08dc7dc95ad8cc65cd6c5e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-12-13T08:24:44Z",
    "title_canon_sha256": "e0c55060f04fc1e8f7433dc4c87cd0f28e609db0ff512bacf977f93055c222dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05309",
    "kind": "arxiv",
    "version": 2
  }
}