Pith Number

pith:67KDFV25

pith:2013:67KDFV25N5BX6ASVKWTG3GXIGS

not attested not anchored not stored refs pending

Potential theory, path integrals and the Laplacian of the indicator

Rutger-Jan Lange

arxiv:1302.0864 v1 · 2013-02-04 · 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{67KDFV25N5BX6ASVKWTG3GXIGS}

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	2026-05-18T03:34:26.911231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7d432d75d6f437f025555a66d9ae8348c96f860b6cbbb88854d16e32eec2258

Aliases

arxiv: 1302.0864 · arxiv_version: 1302.0864v1 · doi: 10.48550/arxiv.1302.0864 · pith_short_12: 67KDFV25N5BX · pith_short_16: 67KDFV25N5BX6ASV · pith_short_8: 67KDFV25

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/67KDFV25N5BX6ASVKWTG3GXIGS \
  | 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: f7d432d75d6f437f025555a66d9ae8348c96f860b6cbbb88854d16e32eec2258

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92f7ddf278fdb913ac2eb7c629296b4a89c1c5596935cba9961824f2b3e2be61",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-02-04T21:08:29Z",
    "title_canon_sha256": "544466e31787428fe03b3ba1983c7b88fbd5bf396e56d1a6f875be91584c1285"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0864",
    "kind": "arxiv",
    "version": 1
  }
}