Pith Number

pith:ZZ4YL3HB

pith:2013:ZZ4YL3HBKDOBNTGK3Q2STFH2L3

not attested not anchored not stored refs pending

On the approximate shape of degree sequences that are not potentially $H$-graphic

Catherine Erbes, Michael Ferrara, Paul Wenger, Ryan R. Martin

arxiv:1303.5622 v1 · 2013-03-22 · 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{ZZ4YL3HBKDOBNTGK3Q2STFH2L3}

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	2026-05-18T03:30:03.681075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce7985ece150dc16cccadc352994fa5ef9061b4c8ac859823cf0d1f53862761b

Aliases

arxiv: 1303.5622 · arxiv_version: 1303.5622v1 · doi: 10.48550/arxiv.1303.5622 · pith_short_12: ZZ4YL3HBKDOB · pith_short_16: ZZ4YL3HBKDOBNTGK · pith_short_8: ZZ4YL3HB

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/ZZ4YL3HBKDOBNTGK3Q2STFH2L3 \
  | 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: ce7985ece150dc16cccadc352994fa5ef9061b4c8ac859823cf0d1f53862761b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62e0dc86da7c5a9178b94a851b584cbc05dc6763bf493834a25045420e6b3eb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-22T14:17:03Z",
    "title_canon_sha256": "cd9fb790093ae872fa120098a7f1a012a0ee59ad56a4446448d79f45a385d40a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5622",
    "kind": "arxiv",
    "version": 1
  }
}