Pith Number

pith:J7SEL3SD

pith:2012:J7SEL3SDUMZ3GMXAFT6GIP6YSS

not attested not anchored not stored refs pending

Dynamic monopolies in directed graphs: the spread of unilateral influence in social networks

Hossein Soltani, Kaveh Khoshkhah, Manouchehr Zaker

arxiv:1212.3682 v1 · 2012-12-15 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J7SEL3SDUMZ3GMXAFT6GIP6YSS}

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	2026-05-18T03:38:22.659108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fe445ee43a333b332e02cfc643fd8948c0b255a31caf8ac0295c266f8dbd912

Aliases

arxiv: 1212.3682 · arxiv_version: 1212.3682v1 · doi: 10.48550/arxiv.1212.3682 · pith_short_12: J7SEL3SDUMZ3 · pith_short_16: J7SEL3SDUMZ3GMXA · pith_short_8: J7SEL3SD

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/J7SEL3SDUMZ3GMXAFT6GIP6YSS \
  | 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: 4fe445ee43a333b332e02cfc643fd8948c0b255a31caf8ac0295c266f8dbd912

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c9dbe20298bd84677be0b649fcd0befc1944890d368a4fbd938e54976baa277",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-15T13:22:25Z",
    "title_canon_sha256": "5ed6a92072b9b8a5dee4352331ae753df2091567639537d348f9959065e5fc91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3682",
    "kind": "arxiv",
    "version": 1
  }
}