Pith Number

pith:CSSKPZEU

pith:2007:CSSKPZEUYTXQAZPEFVDQUVGEHH

not attested not anchored not stored refs pending

Characterizing Sparse Graphs by Map Decompositions

Audrey Lee, Ileana Streinu, Louis Theran, Ruth Haas

arxiv:0704.3843 v1 · 2007-04-29 · 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{CSSKPZEUYTXQAZPEFVDQUVGEHH}

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	2026-05-18T04:09:16.810346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14a4a7e494c4ef0065e42d470a54c439f70ea5f35104fa31f6404f6d52b0d821

Aliases

arxiv: 0704.3843 · arxiv_version: 0704.3843v1 · doi: 10.48550/arxiv.0704.3843 · pith_short_12: CSSKPZEUYTXQ · pith_short_16: CSSKPZEUYTXQAZPE · pith_short_8: CSSKPZEU

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/CSSKPZEUYTXQAZPEFVDQUVGEHH \
  | 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: 14a4a7e494c4ef0065e42d470a54c439f70ea5f35104fa31f6404f6d52b0d821

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6664b386368b042a85415c3a109b2e0164846ba915a204ce3ed1be8799965dba",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-04-29T14:10:18Z",
    "title_canon_sha256": "cd9de186c01f53a1dacc56fdd2f39ebee9a28e9c28d72d20850d8193648ebe73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.3843",
    "kind": "arxiv",
    "version": 1
  }
}