Pith Number

pith:2X2XDEIL

pith:2019:2X2XDEIL2ULBAXV43MMQ7UK4RS

not attested not anchored not stored refs pending

Competition, Collaboration, and Optimization in Multiple Interacting Spreading Processes

Andrey Y. Lokhov, David Saad, Hanlin Sun

arxiv:1905.04416 v4 · 2019-05-11 · physics.soc-ph · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2X2XDEIL2ULBAXV43MMQ7UK4RS}

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	2026-07-05T02:23:41.542596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5f571910bd516105ebcdb190fd15c8c8450f67c4b8cdd5a45507daa777d4143

Aliases

arxiv: 1905.04416 · arxiv_version: 1905.04416v4 · doi: 10.48550/arxiv.1905.04416 · pith_short_12: 2X2XDEIL2ULB · pith_short_16: 2X2XDEIL2ULBAXV4 · pith_short_8: 2X2XDEIL

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/2X2XDEIL2ULBAXV43MMQ7UK4RS \
  | 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: d5f571910bd516105ebcdb190fd15c8c8450f67c4b8cdd5a45507daa777d4143

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e51862106217ff167375cbf399597c4524adbed96e3be7b9f655e8ca00397d8",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2019-05-11T00:58:20Z",
    "title_canon_sha256": "98d6b2527687092996c3873ac57fb4e63df385b707e05e918996e9ce345eb5d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.04416",
    "kind": "arxiv",
    "version": 4
  }
}