Pith Number

pith:KHHHAI2P

pith:2011:KHHHAI2PP6BJPY4PE2NDQPP2OI

not attested not anchored not stored refs pending

On Symmetry of Independence Polynomials

Eugen Mandrescu, Vadim E. Levit

arxiv:1105.2202 v1 · 2011-05-11 · cs.DM · 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{KHHHAI2PP6BJPY4PE2NDQPP2OI}

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	2026-05-18T04:22:21.307137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51ce70234f7f8297e38f269a383dfa7228c08c8af6fb41114eb022745df596b5

Aliases

arxiv: 1105.2202 · arxiv_version: 1105.2202v1 · doi: 10.48550/arxiv.1105.2202 · pith_short_12: KHHHAI2PP6BJ · pith_short_16: KHHHAI2PP6BJPY4P · pith_short_8: KHHHAI2P

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/KHHHAI2PP6BJPY4PE2NDQPP2OI \
  | 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: 51ce70234f7f8297e38f269a383dfa7228c08c8af6fb41114eb022745df596b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd4de9826f71d655ce870c35a87e06e43efbcd9cea9e1ecff05719037839f614",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-05-11T14:22:17Z",
    "title_canon_sha256": "f72eed83fa4b01c56d66d8fa040d37863dd9b4ac41a99a096341375b0ed60e0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2202",
    "kind": "arxiv",
    "version": 1
  }
}