Pith Number

pith:4M2MCSAN

pith:2017:4M2MCSAN3GX5Y5ZXPKODVDKYPH

not attested not anchored not stored refs pending

The sign phase transition in the problem of interfering directed paths

B. Spivak, C. L. Baldwin, C. R. Laumann

arxiv:1709.03516 v1 · 2017-09-11 · cond-mat.stat-mech · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4M2MCSAN3GX5Y5ZXPKODVDKYPH}

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	2026-05-18T00:25:55.081017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e334c1480dd9afdc77377a9c3a8d5879fc37ed40637efaca894313a838237853

Aliases

arxiv: 1709.03516 · arxiv_version: 1709.03516v1 · doi: 10.48550/arxiv.1709.03516 · pith_short_12: 4M2MCSAN3GX5 · pith_short_16: 4M2MCSAN3GX5Y5ZX · pith_short_8: 4M2MCSAN

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/4M2MCSAN3GX5Y5ZXPKODVDKYPH \
  | 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: e334c1480dd9afdc77377a9c3a8d5879fc37ed40637efaca894313a838237853

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e369a944d4a60a4cae37ef97c154cb079bbc61fc2d583893ad2f9f77979847d9",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2017-09-11T18:00:24Z",
    "title_canon_sha256": "59781fb1e3e05c59f9cb2e1e489a1d88c0d8b6e5473112777719f94eab8b36ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.03516",
    "kind": "arxiv",
    "version": 1
  }
}