Pith Number

pith:KPTSB2GS

pith:2013:KPTSB2GSRPR7MZYBER6FO7QEUA

not attested not anchored not stored refs pending

On f-Symmetries of the Independence Polynomial

Eugen Mandrescu, Vadim E. Levit

arxiv:1303.2564 v1 · 2013-03-11 · 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{KPTSB2GSRPR7MZYBER6FO7QEUA}

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	2026-05-18T03:31:18.621708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53e720e8d28be3f66701247c577e04a0343db81640fb768f5f4e4ff184743d13

Aliases

arxiv: 1303.2564 · arxiv_version: 1303.2564v1 · doi: 10.48550/arxiv.1303.2564 · pith_short_12: KPTSB2GSRPR7 · pith_short_16: KPTSB2GSRPR7MZYB · pith_short_8: KPTSB2GS

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/KPTSB2GSRPR7MZYBER6FO7QEUA \
  | 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: 53e720e8d28be3f66701247c577e04a0343db81640fb768f5f4e4ff184743d13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a721f94abd4f7ce20b1020cf9f4213109e92957d07bda32952160956d884891b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-03-11T16:15:07Z",
    "title_canon_sha256": "84896032a526608ce995d1aaaf972dcf88a5e6824ca95865028f50a39893d28a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2564",
    "kind": "arxiv",
    "version": 1
  }
}