Pith Number

pith:XX5ACOAA

pith:2009:XX5ACOAARUN6EFXC5H3LOC5XRN

not attested not anchored not stored refs pending

Soliton Spheres

Christoph Bohle, G. Paul Peters

arxiv:0905.2162 v1 · 2009-05-13 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XX5ACOAARUN6EFXC5H3LOC5XRN}

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	2026-05-18T03:38:05.237452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdfa0138008d1be216e2e9f6b70bb78b5d0595661c9905d1d4ac97dbe9728c09

Aliases

arxiv: 0905.2162 · arxiv_version: 0905.2162v1 · doi: 10.48550/arxiv.0905.2162 · pith_short_12: XX5ACOAARUN6 · pith_short_16: XX5ACOAARUN6EFXC · pith_short_8: XX5ACOAA

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/XX5ACOAARUN6EFXC5H3LOC5XRN \
  | 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: bdfa0138008d1be216e2e9f6b70bb78b5d0595661c9905d1d4ac97dbe9728c09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "293fc5fa8c16bc9dd28042578a2b51076eb5cd5310888885cc1fe17255635ad6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-05-13T19:14:37Z",
    "title_canon_sha256": "fc49a1374669be4c9d55ded26ee0d0bf7927f85a43d0d3d15ef0cbc9a65ba8f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.2162",
    "kind": "arxiv",
    "version": 1
  }
}