Pith Number

pith:SV667HM4

pith:2008:SV667HM4OJMMFMPSKYUJLK6NZC

not attested not anchored not stored refs pending

Embedding solenoids in foliations

Alex Clark, Steven Hurder

arxiv:0812.1085 v2 · 2008-12-05 · math.DS · 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{SV667HM4OJMMFMPSKYUJLK6NZC}

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	2026-05-18T04:23:23.423958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

957def9d9c7258c2b1f2562895abcdc89b250a4c77af2bddf4604cf66653cc16

Aliases

arxiv: 0812.1085 · arxiv_version: 0812.1085v2 · doi: 10.48550/arxiv.0812.1085 · pith_short_12: SV667HM4OJMM · pith_short_16: SV667HM4OJMMFMPS · pith_short_8: SV667HM4

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/SV667HM4OJMMFMPSKYUJLK6NZC \
  | 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: 957def9d9c7258c2b1f2562895abcdc89b250a4c77af2bddf4604cf66653cc16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f85dc44521600cbff819c2c414453eea395de77e4282706114922c4d2a37f114",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2008-12-05T08:10:04Z",
    "title_canon_sha256": "be3ff0882d9351f632a9ca3c267742a8bc8eea2348238bc9499be414c546f74c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.1085",
    "kind": "arxiv",
    "version": 2
  }
}