Pith Number

pith:6HZT7M7H

pith:2002:6HZT7M7HNONNIA2TRUXDD2EPC4

not attested not anchored not stored refs pending

Disks that are double spiral staircases

II, Tobias H. Colding, W.P. Minicozzi

arxiv:math/0208181 v2 · 2002-08-23 · math.AP · 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{6HZT7M7HNONNIA2TRUXDD2EPC4}

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	2026-05-18T03:47:10.557572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1f33fb3e76b9ad403538d2e31e88f17320fd4bb3292db0b4d2e28bbe70a0149

Aliases

arxiv: math/0208181 · arxiv_version: math/0208181v2 · doi: 10.48550/arxiv.math/0208181 · pith_short_12: 6HZT7M7HNONN · pith_short_16: 6HZT7M7HNONNIA2T · pith_short_8: 6HZT7M7H

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/6HZT7M7HNONNIA2TRUXDD2EPC4 \
  | 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: f1f33fb3e76b9ad403538d2e31e88f17320fd4bb3292db0b4d2e28bbe70a0149

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b4fdcb9d0f00b4791aacc5ba4c2a4b4d87d03026fc3dfaae84aae79a15c1d1d",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2002-08-23T09:57:26Z",
    "title_canon_sha256": "c336039d59053a5ebc1fa76cc82cfa3382f8ba404ddead3d86578d034986d94d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0208181",
    "kind": "arxiv",
    "version": 2
  }
}