Pith Number

pith:J46AWD7J

pith:2018:J46AWD7JSHR5Y5MJTQOGCRXTLG

not attested not anchored not stored refs pending

On graphs whose flow polynomials have real roots only

Fengming Dong

arxiv:1808.00175 v1 · 2018-08-01 · 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{J46AWD7JSHR5Y5MJTQOGCRXTLG}

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	2026-05-18T00:09:08.528407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f3c0b0fe991e3dc75899c1c6146f35981d29dba8aa590fd9566fb073e8da880

Aliases

arxiv: 1808.00175 · arxiv_version: 1808.00175v1 · doi: 10.48550/arxiv.1808.00175 · pith_short_12: J46AWD7JSHR5 · pith_short_16: J46AWD7JSHR5Y5MJ · pith_short_8: J46AWD7J

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/J46AWD7JSHR5Y5MJTQOGCRXTLG \
  | 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: 4f3c0b0fe991e3dc75899c1c6146f35981d29dba8aa590fd9566fb073e8da880

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b6829e0fa5326f0dc70871951f6048ac1b41519061fb86fea6e3071c0f536a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-01T06:00:26Z",
    "title_canon_sha256": "9b825a2bb9b3eebc0c9b4b8002184ed88f0fed348d37fd078912a52ecdab9e41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.00175",
    "kind": "arxiv",
    "version": 1
  }
}