Pith Number

pith:PRDLL42J

pith:2017:PRDLL42JRK5WBZ2TSLCBUJXZW5

not attested not anchored not stored refs pending

Paradox of integration - mean field approach

Alfio Borzi, Krzysztof Kulakowski, Piotr Gronek

arxiv:1706.02466 v1 · 2017-06-08 · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PRDLL42JRK5WBZ2TSLCBUJXZW5}

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	2026-05-18T00:25:57.366262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c46b5f3498abb60e75392c41a26f9b75930a7f457efeff4fed31b9d3968a48b

Aliases

arxiv: 1706.02466 · arxiv_version: 1706.02466v1 · doi: 10.48550/arxiv.1706.02466 · pith_short_12: PRDLL42JRK5W · pith_short_16: PRDLL42JRK5WBZ2T · pith_short_8: PRDLL42J

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/PRDLL42JRK5WBZ2TSLCBUJXZW5 \
  | 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: 7c46b5f3498abb60e75392c41a26f9b75930a7f457efeff4fed31b9d3968a48b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba97b913e42c259015f9d1285341a725da7e697c3729dfab17d5dbb97f8b4f35",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2017-06-08T07:50:16Z",
    "title_canon_sha256": "51440de8110c615b38a8777417d846173cd4cd7278b53c76aaafbb78171061d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.02466",
    "kind": "arxiv",
    "version": 1
  }
}