Pith Number

pith:XND4DZPU

pith:2006:XND4DZPUFWJWNX66XK6U63VGY2

not attested not anchored not stored refs pending

Integral equations PS-3 and moduli of pants

Andrei Bogatyrev

arxiv:math/0611851 v2 · 2006-11-28 · math.CV · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XND4DZPUFWJWNX66XK6U63VGY2}

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	2026-05-18T04:32:53.670742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb47c1e5f42d9366dfdebabd4f6ea6c6ae10b5d2497eb3f5758145a99ebefe3f

Aliases

arxiv: math/0611851 · arxiv_version: math/0611851v2 · doi: 10.48550/arxiv.math/0611851 · pith_short_12: XND4DZPUFWJW · pith_short_16: XND4DZPUFWJWNX66 · pith_short_8: XND4DZPU

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/XND4DZPUFWJWNX66XK6U63VGY2 \
  | 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: bb47c1e5f42d9366dfdebabd4f6ea6c6ae10b5d2497eb3f5758145a99ebefe3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a32a3c4c1f2fe56f732ea23b6d0ced2029c464728bca5db2b26d09858c8d4f91",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "2006-11-28T06:15:11Z",
    "title_canon_sha256": "b056f8847566cb18cb20cb63c0408d34a46f6028148d6cfd9c2b80fba04a6623"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611851",
    "kind": "arxiv",
    "version": 2
  }
}