Pith Number

pith:GGXBNP4M

pith:2019:GGXBNP4MQQHOV3TJPYF62P7RWY

not attested not anchored not stored refs pending

How to Win Friends and Influence Functionals: Deducing Stochasticity From Deterministic Dynamics

Denys I. Bondar, Gerard McCaul

arxiv:1904.04918 v2 · 2019-04-09 · cond-mat.stat-mech · math-ph · math.MP · quant-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{GGXBNP4MQQHOV3TJPYF62P7RWY}

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	2026-07-05T01:55:41.464988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31ae16bf8c840eeaee697e0bed3ff1b6355f4829ee9c87e5ef4aafbe07dcaab1

Aliases

arxiv: 1904.04918 · arxiv_version: 1904.04918v2 · doi: 10.48550/arxiv.1904.04918 · pith_short_12: GGXBNP4MQQHO · pith_short_16: GGXBNP4MQQHOV3TJ · pith_short_8: GGXBNP4M

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/GGXBNP4MQQHOV3TJPYF62P7RWY \
  | 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: 31ae16bf8c840eeaee697e0bed3ff1b6355f4829ee9c87e5ef4aafbe07dcaab1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0163bf6cc44497bb56ffcc08e070bd18833b4fe7c2615f7bd810d114e4eebca4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2019-04-09T21:34:19Z",
    "title_canon_sha256": "edbe2bea40d2f0104b5cbbbaa9e09341646f9951161c6f6cfa8658cc5e3f3768"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.04918",
    "kind": "arxiv",
    "version": 2
  }
}