Pith Number

pith:Z5YW6MQC

pith:2025:Z5YW6MQCYOBKTWXI2HCEFDHND5

not attested not anchored not stored refs pending

On the $P$-vertex problem in Bipartite Graphs

G. Arunkumar, Puja Samanta

arxiv:2512.10590 v2 · 2025-12-11 · 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{Z5YW6MQCYOBKTWXI2HCEFDHND5}

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	2026-06-19T16:11:18.349795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf716f3202c382a9dae8d1c4428ced1f7f77c8e4ca1bf0aeb71e6ef033a8bd01

Aliases

arxiv: 2512.10590 · arxiv_version: 2512.10590v2 · doi: 10.48550/arxiv.2512.10590 · pith_short_12: Z5YW6MQCYOBK · pith_short_16: Z5YW6MQCYOBKTWXI · pith_short_8: Z5YW6MQC

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/Z5YW6MQCYOBKTWXI2HCEFDHND5 \
  | 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: cf716f3202c382a9dae8d1c4428ced1f7f77c8e4ca1bf0aeb71e6ef033a8bd01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d84354b619b7c8e271d17c8cc8801a062ed00a12feba51fc863b4ebc68af6ca7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-12-11T12:33:09Z",
    "title_canon_sha256": "e4c968964c07743e406c069f035359d17bda908342c21fd791d2a1621f0593b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.10590",
    "kind": "arxiv",
    "version": 2
  }
}