Pith Number

pith:3LTCMP5I

pith:2019:3LTCMP5IYK6EDKJDVXJASS46RU

not attested not anchored not stored refs pending

On the location of roots of the independence polynomial of bounded degree graphs

Pjotr Buys

arxiv:1903.05462 v1 · 2019-03-13 · math.CO · math-ph · math.DS · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3LTCMP5IYK6EDKJDVXJASS46RU}

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	2026-05-17T23:51:20.888659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dae6263fa8c2bc41a923add2094b9e8d34df7b89ed2b128c433c4e1a47d80591

Aliases

arxiv: 1903.05462 · arxiv_version: 1903.05462v1 · doi: 10.48550/arxiv.1903.05462 · pith_short_12: 3LTCMP5IYK6E · pith_short_16: 3LTCMP5IYK6EDKJD · pith_short_8: 3LTCMP5I

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/3LTCMP5IYK6EDKJDVXJASS46RU \
  | 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: dae6263fa8c2bc41a923add2094b9e8d34df7b89ed2b128c433c4e1a47d80591

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87a9d4785d280b2e2833495f0f5d98a561182bbb81953b845d5f525b2906a071",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-13T12:55:37Z",
    "title_canon_sha256": "9e62da9bfa9378968544f258d5d1c19d18332624c30e344088cba4c99070a9c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.05462",
    "kind": "arxiv",
    "version": 1
  }
}