Pith Number

pith:V4HNEDHA

pith:1998:V4HNEDHAZPLIO24VJ73JXJ27XN

not attested not anchored not stored refs pending

Foliation-preserving Maps Between Solvmanifolds

Dave Witte, Holly Bernstein

arxiv:math/9802133 v1 · 1998-02-10 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V4HNEDHAZPLIO24VJ73JXJ27XN}

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	2026-05-18T01:05:34.286188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af0ed20ce0cbd6876b954ff69ba75fbb40d5b15e1d9e8cfa1ab150626d3c41c5

Aliases

arxiv: math/9802133 · arxiv_version: math/9802133v1 · doi: 10.48550/arxiv.math/9802133 · pith_short_12: V4HNEDHAZPLI · pith_short_16: V4HNEDHAZPLIO24V · pith_short_8: V4HNEDHA

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/V4HNEDHAZPLIO24VJ73JXJ27XN \
  | 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: af0ed20ce0cbd6876b954ff69ba75fbb40d5b15e1d9e8cfa1ab150626d3c41c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b31ee8e0476038bf0d5ec5a00968868af9ad17bef29d4f41e1c846610655d61",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1998-02-10T00:00:00Z",
    "title_canon_sha256": "1f98a4c759d49be4156be49389d2d6435338bb3c4c4d8f928ca1af8806f0d7e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9802133",
    "kind": "arxiv",
    "version": 1
  }
}