Pith Number

pith:PPNMTB2I

pith:1999:PPNMTB2IGETFQ2PL2VF6FPOH6B

not attested not anchored not stored refs pending

Loss of tension in an infinite membrane with holes distributed by Poisson law

Konstantine Rybnikov (Queen's University), Mikhail Menshikov, Stanislav Volkov

arxiv:math/9909187 v1 · 1999-09-05 · 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{PPNMTB2IGETFQ2PL2VF6FPOH6B}

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	2026-05-18T01:05:32.591731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bdac9874831265869ebd54be2bdc7f05506ef772c0ec3cf4073d2b6962292bc

Aliases

arxiv: math/9909187 · arxiv_version: math/9909187v1 · doi: 10.48550/arxiv.math/9909187 · pith_short_12: PPNMTB2IGETF · pith_short_16: PPNMTB2IGETFQ2PL · pith_short_8: PPNMTB2I

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/PPNMTB2IGETFQ2PL2VF6FPOH6B \
  | 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: 7bdac9874831265869ebd54be2bdc7f05506ef772c0ec3cf4073d2b6962292bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3069a26ef430c134c987ba90b91f4f05b5b8e2931c82255bfc84b2cc2178894a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "1999-09-05T00:00:00Z",
    "title_canon_sha256": "f50af091638c3085ed1fae576f087e125d171fde9440bde13451dba0135d0590"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9909187",
    "kind": "arxiv",
    "version": 1
  }
}