Pith Number

pith:TMFAV7V7

pith:2025:TMFAV7V73QQHJF5GUT26N6L52N

not attested not anchored not stored refs pending

On the Complexity of Problems on Graphs Defined on Groups

Bireswar Das, Dipan Dey, Jinia Ghosh

arxiv:2507.05860 v1 · 2025-07-08 · cs.CC · cs.DM · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TMFAV7V73QQHJF5GUT26N6L52N}

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	2026-07-05T11:33:37.302429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b0a0afebfdc207497a6a4f5e6f97dd3707c16cf459c0aec33873376f936cbaa

Aliases

arxiv: 2507.05860 · arxiv_version: 2507.05860v1 · doi: 10.48550/arxiv.2507.05860 · pith_short_12: TMFAV7V73QQH · pith_short_16: TMFAV7V73QQHJF5G · pith_short_8: TMFAV7V7

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/TMFAV7V73QQHJF5GUT26N6L52N \
  | 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: 9b0a0afebfdc207497a6a4f5e6f97dd3707c16cf459c0aec33873376f936cbaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b96b1cf3767fad7a7541f40b90cfaec793147e7ef263025e991655e959a179f",
    "cross_cats_sorted": [
      "cs.DM",
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2025-07-08T10:40:21Z",
    "title_canon_sha256": "c2b372f7de96db822d7ec16824c2e4863878f93a6b91c20940768c1c9e27946d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.05860",
    "kind": "arxiv",
    "version": 1
  }
}