Pith Number

pith:A2ZGBIF7

pith:2010:A2ZGBIF7Y6QB6O3TNCKVFMOBEK

not attested not anchored not stored refs pending

On sphere-filling ropes

Heiko von der Mosel, Henryk Gerlach

arxiv:1005.4609 v1 · 2010-05-25 · 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{A2ZGBIF7Y6QB6O3TNCKVFMOBEK}

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	2026-05-18T03:00:59.729700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06b260a0bfc7a01f3b73689552b1c12299eefd1f576613c4a99bbda6ffe50fe2

Aliases

arxiv: 1005.4609 · arxiv_version: 1005.4609v1 · doi: 10.48550/arxiv.1005.4609 · pith_short_12: A2ZGBIF7Y6QB · pith_short_16: A2ZGBIF7Y6QB6O3T · pith_short_8: A2ZGBIF7

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/A2ZGBIF7Y6QB6O3TNCKVFMOBEK \
  | 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: 06b260a0bfc7a01f3b73689552b1c12299eefd1f576613c4a99bbda6ffe50fe2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "444e73e016ca5e5e2b3ee202a373c8e834f5a24d60b1e4a6aa1cf6159cbf7f7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-05-25T15:41:05Z",
    "title_canon_sha256": "1086d4aa3af10acc836dba801edbffaba3cb8131328b6bc83666c2f3daf1bc66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4609",
    "kind": "arxiv",
    "version": 1
  }
}