Pith Number

pith:GXUOFVHY

pith:1998:GXUOFVHYQCNRMFPI65SIOAS3RG

not attested not anchored not stored refs pending

Transition operators of diffusions reduce zero-crossing

Ruth J. Williams, Steven N. Evans

arxiv:math/9801146 v1 · 1998-01-21 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GXUOFVHYQCNRMFPI65SIOAS3RG}

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	2026-05-18T01:05:34.371553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35e8e2d4f8809b1615e8f76487025b89b51a5305f82c754cca3dd8d7754f391b

Aliases

arxiv: math/9801146 · arxiv_version: math/9801146v1 · doi: 10.48550/arxiv.math/9801146 · pith_short_12: GXUOFVHYQCNR · pith_short_16: GXUOFVHYQCNRMFPI · pith_short_8: GXUOFVHY

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/GXUOFVHYQCNRMFPI65SIOAS3RG \
  | 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: 35e8e2d4f8809b1615e8f76487025b89b51a5305f82c754cca3dd8d7754f391b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0408048ffc688f8e61b5021eb9ada994fb441dcdff8ee279453a72d2d6bd2305",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "1998-01-21T00:00:00Z",
    "title_canon_sha256": "b2f153832dd8975f4845ddfe47c1978a8fda2052a79ebf9da3002da73eb1ca76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9801146",
    "kind": "arxiv",
    "version": 1
  }
}