Pith Number

pith:66OMNT2K

pith:2026:66OMNT2KJRTTNICHZ5XBT73LRI

not attested not anchored not stored refs pending

From graphons to real-world networks: kinetic opinion dynamics under selective media influence

Alessandro Licciardi, Bertram D\"uring, Martina Fraia

arxiv:2607.02821 v1 · 2026-07-02 · physics.soc-ph · math-ph · math.AP · math.MP · math.OC · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{66OMNT2KJRTTNICHZ5XBT73LRI}

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	2026-07-07T00:16:19.082949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f79cc6cf4a4c6736a047cf6e19ff6b8a2072ade5100b2693a741b23e571f8cb3

Aliases

arxiv: 2607.02821 · arxiv_version: 2607.02821v1 · doi: 10.48550/arxiv.2607.02821 · pith_short_12: 66OMNT2KJRTT · pith_short_16: 66OMNT2KJRTTNICH · pith_short_8: 66OMNT2K

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/66OMNT2KJRTTNICHZ5XBT73LRI \
  | 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: f79cc6cf4a4c6736a047cf6e19ff6b8a2072ade5100b2693a741b23e571f8cb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6eef75e5c857bf9a4caab7f92252d9e7b1a280731d8a7f08647401eed4d5fe28",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP",
      "math.OC",
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2026-07-02T23:19:53Z",
    "title_canon_sha256": "818f2689d11bad7378f0119afbb377452f667c16bf4d65477b2e35c8800ad14b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02821",
    "kind": "arxiv",
    "version": 1
  }
}