Pith Number

pith:SH765III

pith:2015:SH765III2WOMEPKQGKZCPZJNGY

not attested not anchored not stored refs pending

Sufficient Conditions for Graphicality of Bidegree Sequences

David Burstein, Jonathan Rubin

arxiv:1511.02411 v2 · 2015-11-07 · math.CO · 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{SH765III2WOMEPKQGKZCPZJNGY}

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	2026-05-18T01:01:42.237835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91ffeea108d59cc23d5032b227e52d360b42197dcf84a79ccaa089dbb187499d

Aliases

arxiv: 1511.02411 · arxiv_version: 1511.02411v2 · doi: 10.48550/arxiv.1511.02411 · pith_short_12: SH765III2WOM · pith_short_16: SH765III2WOMEPKQ · pith_short_8: SH765III

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/SH765III2WOMEPKQGKZCPZJNGY \
  | 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: 91ffeea108d59cc23d5032b227e52d360b42197dcf84a79ccaa089dbb187499d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57f7cc3de1688ad084d09b82732bcc25a3a01bdef2106c5f2101a7d6513792a6",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-07T23:47:30Z",
    "title_canon_sha256": "42c958bc5c7296d46322bd157bfee3debf3d462febaed2c0b1bdebe099fd972d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02411",
    "kind": "arxiv",
    "version": 2
  }
}