Pith Number

pith:LFORGOL2

pith:2019:LFORGOL2PQVNOZIGHJTA6AB2CN

not attested not anchored not stored refs pending

On the Degree Sequences of Multigraphs with Edge Additions and Deletions

Joshua Steier

arxiv:1906.06192 v1 · 2019-06-14 · 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{LFORGOL2PQVNOZIGHJTA6AB2CN}

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	2026-05-17T23:43:19.423549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

595d13397a7c2ad765063a660f003a1355af95b7e00ca52d5cc726971f48a473

Aliases

arxiv: 1906.06192 · arxiv_version: 1906.06192v1 · doi: 10.48550/arxiv.1906.06192 · pith_short_12: LFORGOL2PQVN · pith_short_16: LFORGOL2PQVNOZIG · pith_short_8: LFORGOL2

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/LFORGOL2PQVNOZIGHJTA6AB2CN \
  | 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: 595d13397a7c2ad765063a660f003a1355af95b7e00ca52d5cc726971f48a473

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d20d2df4f197bb26f8e2cb621c36a71d25a97e1d6dae6ce6ec7723376d25c566",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-14T13:13:28Z",
    "title_canon_sha256": "3fc4ecc8e6c038cf1c9c4bef2b2c2a7c24f574d9dcc0e041be0c47bb935b72ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.06192",
    "kind": "arxiv",
    "version": 1
  }
}