Pith Number

pith:YQZXTCYE

pith:2016:YQZXTCYE3GY5KIM2JY2P6FAI2E

not attested not anchored not stored refs pending

Competitive Propagation: Models, Asymptotic Behavior and Multi-stage Games

Francesco Bullo, Wenjun Mei

arxiv:1609.09547 v1 · 2016-09-29 · cs.SI · cs.MA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YQZXTCYE3GY5KIM2JY2P6FAI2E}

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	2026-05-18T01:03:35.757073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c433798b04d9b1d5219a4e34ff1408d12ead33f3002c687d769cd629e24c315f

Aliases

arxiv: 1609.09547 · arxiv_version: 1609.09547v1 · doi: 10.48550/arxiv.1609.09547 · pith_short_12: YQZXTCYE3GY5 · pith_short_16: YQZXTCYE3GY5KIM2 · pith_short_8: YQZXTCYE

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/YQZXTCYE3GY5KIM2JY2P6FAI2E \
  | 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: c433798b04d9b1d5219a4e34ff1408d12ead33f3002c687d769cd629e24c315f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b2b9805af8c299e5af4b85b832a3887b9fa379f5c463331d234223ac9346431",
    "cross_cats_sorted": [
      "cs.MA",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2016-09-29T23:34:02Z",
    "title_canon_sha256": "17361e761b142679e99dc646d9bce6f3d64ff88c26db5b391a95f2e4cc898831"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09547",
    "kind": "arxiv",
    "version": 1
  }
}