Pith Number

pith:KPE7RYNP

pith:2017:KPE7RYNPVQFFTR2VIMB3MRT5ZF

not attested not anchored not stored refs pending

An Optimal Realization Algorithm for Bipartite Graphs with Degrees in Prescribed Intervals

Steffen Rechner

arxiv:1708.05520 v1 · 2017-08-18 · cs.DS · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KPE7RYNPVQFFTR2VIMB3MRT5ZF}

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	2026-05-18T00:37:49.834732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53c9f8e1afac0a59c7554303b6467dc94cd314b1862209f1bd7d0ef4e7d54b58

Aliases

arxiv: 1708.05520 · arxiv_version: 1708.05520v1 · doi: 10.48550/arxiv.1708.05520 · pith_short_12: KPE7RYNPVQFF · pith_short_16: KPE7RYNPVQFFTR2V · pith_short_8: KPE7RYNP

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/KPE7RYNPVQFFTR2VIMB3MRT5ZF \
  | 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: 53c9f8e1afac0a59c7554303b6467dc94cd314b1862209f1bd7d0ef4e7d54b58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dc2193bb58c07c1a6fb3a3fd1191ce4b630f6e8cf81289f2902e040594d2cc3",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2017-08-18T06:58:37Z",
    "title_canon_sha256": "5a59194e23d916f00a806fc3ac4a82d96e569c7f9b88d96e7f4f00ae67861611"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.05520",
    "kind": "arxiv",
    "version": 1
  }
}