Pith Number

pith:O3LGY7N4

pith:2012:O3LGY7N47FLOCBGCNLW6PAUWC5

not attested not anchored not stored refs pending

A Paradox of State-Dependent Diffusion and How to Resolve It

P. F. Tupper, Xin Yang

arxiv:1204.1590 v3 · 2012-04-07 · math.DS · 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{O3LGY7N47FLOCBGCNLW6PAUWC5}

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	2026-05-18T01:57:55.986044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76d66c7dbcf956e104c26aede78296176e89bc6b52a355cf1ae1339d68e7a013

Aliases

arxiv: 1204.1590 · arxiv_version: 1204.1590v3 · doi: 10.48550/arxiv.1204.1590 · pith_short_12: O3LGY7N47FLO · pith_short_16: O3LGY7N47FLOCBGC · pith_short_8: O3LGY7N4

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/O3LGY7N47FLOCBGCNLW6PAUWC5 \
  | 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: 76d66c7dbcf956e104c26aede78296176e89bc6b52a355cf1ae1339d68e7a013

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "097bc9f179993a58149d9d1fcfd5825fba88b8af7bf74fad9bb1be8f8adef8f9",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-04-07T04:03:41Z",
    "title_canon_sha256": "e08d75c42640a848a337dd6a15b2ce69468d52eb27f5dbda4f742d82862cf299"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1590",
    "kind": "arxiv",
    "version": 3
  }
}