Pith Number

pith:3RQ25VPH

pith:2017:3RQ25VPH4AOULYPYAHTDJYXYHC

not attested not anchored not stored refs pending

Homogenization theory for the random conductance model with degenerate ergodic weights and unbounded-range jumps

Franziska Flegel, Martin Heida, Martin Slowik

arxiv:1702.02860 v3 · 2017-02-09 · math.PR · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3RQ25VPH4AOULYPYAHTDJYXYHC}

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	2026-05-18T00:14:22.788039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc61aed5e7e01d45e1f801e634e2f8388bcec7a9f1825c2e0efe64a3c1048ffc

Aliases

arxiv: 1702.02860 · arxiv_version: 1702.02860v3 · doi: 10.48550/arxiv.1702.02860 · pith_short_12: 3RQ25VPH4AOU · pith_short_16: 3RQ25VPH4AOULYPY · pith_short_8: 3RQ25VPH

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/3RQ25VPH4AOULYPYAHTDJYXYHC \
  | 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: dc61aed5e7e01d45e1f801e634e2f8388bcec7a9f1825c2e0efe64a3c1048ffc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13aa1bea3d86116d2063686013c3efcae44ed944f85119fcbdc0dc4ee50bc63f",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-02-09T15:27:07Z",
    "title_canon_sha256": "66e01bfb78106537a5aa220b5b3c92362a341c931b246fcafc79f8790207ae71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02860",
    "kind": "arxiv",
    "version": 3
  }
}