Pith Number

pith:WMQ53J2R

pith:2014:WMQ53J2RL46JHYE52DEZAV62F6

not attested not anchored not stored refs pending

Unavoidable collections of balls for processes with isotropic unimodal Green function

Wolfhard Hansen

arxiv:1403.0076 v2 · 2014-03-01 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WMQ53J2RL46JHYE52DEZAV62F6}

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	2026-05-18T02:56:04.891211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b321dda7515f3c93e09dd0c99057da2fa4cc83f43a1c8f797eb149c1e754edc5

Aliases

arxiv: 1403.0076 · arxiv_version: 1403.0076v2 · doi: 10.48550/arxiv.1403.0076 · pith_short_12: WMQ53J2RL46J · pith_short_16: WMQ53J2RL46JHYE5 · pith_short_8: WMQ53J2R

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/WMQ53J2RL46JHYE52DEZAV62F6 \
  | 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: b321dda7515f3c93e09dd0c99057da2fa4cc83f43a1c8f797eb149c1e754edc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d95b532ccaaff0c03472d4da75eb99a65c381256219e6787561474cbc0515689",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-03-01T11:41:18Z",
    "title_canon_sha256": "c6fed7b7245db3f07a99827df7090aa784e63ff51940d96b20a58aa89ee90788"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0076",
    "kind": "arxiv",
    "version": 2
  }
}