Pith Number

pith:BQ2LGSD4

pith:2008:BQ2LGSD4NNQPTFTQH5HOAV3GNV

not attested not anchored not stored refs pending

Turbulence, representations, and trace-preserving actions

David Kerr, Hanfeng Li, Mikael Pichot

arxiv:0808.1907 v1 · 2008-08-13 · math.OA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BQ2LGSD4NNQPTFTQH5HOAV3GNV}

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	2026-05-18T02:58:11.242452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c34b3487c6b60f996703f4ee057666d7d35e4c8527650b99ef2b7d0195e7114

Aliases

arxiv: 0808.1907 · arxiv_version: 0808.1907v1 · doi: 10.48550/arxiv.0808.1907 · pith_short_12: BQ2LGSD4NNQP · pith_short_16: BQ2LGSD4NNQPTFTQ · pith_short_8: BQ2LGSD4

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/BQ2LGSD4NNQPTFTQH5HOAV3GNV \
  | 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: 0c34b3487c6b60f996703f4ee057666d7d35e4c8527650b99ef2b7d0195e7114

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c538c80b6d1a216496a37a128ec6ba77603ff495c310fe9dc06e6f577045f1f1",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2008-08-13T22:52:22Z",
    "title_canon_sha256": "af944846a680755bafc3311b81d9fe295d028092d23c01797f3ec8175be00a0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.1907",
    "kind": "arxiv",
    "version": 1
  }
}