Pith Number

pith:RHD4ANFG

pith:2016:RHD4ANFGNRNPYYBNWBBH7W6TUZ

not attested not anchored not stored refs pending

The Structure of $W_4$-Immersion-Free Graphs

Archontia Giannopoulou, Daniel Lokshtanov, Dimitrios M. Thilikos, R\'emy Belmonte

arxiv:1602.02002 v1 · 2016-02-05 · 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{RHD4ANFGNRNPYYBNWBBH7W6TUZ}

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	2026-05-18T01:21:14.820762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89c7c034a66c5afc602db0427fdbd3a66422819900ba32d0cfe772c50956a79f

Aliases

arxiv: 1602.02002 · arxiv_version: 1602.02002v1 · doi: 10.48550/arxiv.1602.02002 · pith_short_12: RHD4ANFGNRNP · pith_short_16: RHD4ANFGNRNPYYBN · pith_short_8: RHD4ANFG

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/RHD4ANFGNRNPYYBNWBBH7W6TUZ \
  | 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: 89c7c034a66c5afc602db0427fdbd3a66422819900ba32d0cfe772c50956a79f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0001f2f6d81d38986d5c07b63853073d7f34b6e750aaf31d2ed69438ea1977e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-05T12:34:10Z",
    "title_canon_sha256": "197ee3dbdf189116c06e6c64923fd79109db24c7d12576280baf568cb45509f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02002",
    "kind": "arxiv",
    "version": 1
  }
}