Pith Number

pith:CKP7II5M

pith:2009:CKP7II5MXQTGBW5EGTBPTQRNIZ

not attested not anchored not stored refs pending

Algorithms for realizing degree sequences of directed graphs

M. Drew Lamar

arxiv:0906.0343 v2 · 2009-06-01 · 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{CKP7II5MXQTGBW5EGTBPTQRNIZ}

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	2026-05-18T02:24:55.573095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

129ff423acbc2660dba434c2f9c22d467a07f06913dcc0d5df8bfcde63095144

Aliases

arxiv: 0906.0343 · arxiv_version: 0906.0343v2 · doi: 10.48550/arxiv.0906.0343 · pith_short_12: CKP7II5MXQTG · pith_short_16: CKP7II5MXQTGBW5E · pith_short_8: CKP7II5M

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/CKP7II5MXQTGBW5EGTBPTQRNIZ \
  | 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: 129ff423acbc2660dba434c2f9c22d467a07f06913dcc0d5df8bfcde63095144

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c024e9a5f83eddd9bf320b7a9d278cdbffbb7fa9acada9bd8f7c7be61f3d8b78",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-06-01T19:11:43Z",
    "title_canon_sha256": "a17b2b94238cef43206f90d6785349daa6f143cdab28cc9e6a81dc12507301ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.0343",
    "kind": "arxiv",
    "version": 2
  }
}