Pith Number

pith:SSPA2VI7

pith:2015:SSPA2VI7SFMJIZFTYIOQVCMCH5

not attested not anchored not stored refs pending

Convergence of discrete Green functions with Neumann boundary conditions

Shirshendu Ganguly, Yuval Peres

arxiv:1503.06948 v2 · 2015-03-24 · math.PR · cond-mat.stat-mech · math.AP · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SSPA2VI7SFMJIZFTYIOQVCMCH5}

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	2026-05-18T01:34:34.897715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

949e0d551f91589464b3c21d0a89823f675c3ea9ba24ec302be67bb0711660fe

Aliases

arxiv: 1503.06948 · arxiv_version: 1503.06948v2 · doi: 10.48550/arxiv.1503.06948 · pith_short_12: SSPA2VI7SFMJ · pith_short_16: SSPA2VI7SFMJIZFT · pith_short_8: SSPA2VI7

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/SSPA2VI7SFMJIZFTYIOQVCMCH5 \
  | 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: 949e0d551f91589464b3c21d0a89823f675c3ea9ba24ec302be67bb0711660fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54e30cc2a0a789232ccdfdcdcc88e5f01dc2f68715c50b2df56218e1a50d9d65",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.AP",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-03-24T08:40:57Z",
    "title_canon_sha256": "b63c64a29114f4621133a2b319ab6b8e75425de2eda001197576d6c5ad2a7a4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06948",
    "kind": "arxiv",
    "version": 2
  }
}