Pith Number

pith:OU5VYKM3

pith:2018:OU5VYKM3OTESLCCJ6VMBCV6ZKG

not attested not anchored not stored refs pending

Wandering Singularities

Tobias Holck Colding, William P. Minicozzi II

arxiv:1809.03585 v1 · 2018-09-10 · math.DG · math.AP · 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{OU5VYKM3OTESLCCJ6VMBCV6ZKG}

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	2026-05-18T00:06:00.390361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

753b5c299b74c9258849f5581157d95181bc5b09193eef5f97594c80d39f03f3

Aliases

arxiv: 1809.03585 · arxiv_version: 1809.03585v1 · doi: 10.48550/arxiv.1809.03585 · pith_short_12: OU5VYKM3OTES · pith_short_16: OU5VYKM3OTESLCCJ · pith_short_8: OU5VYKM3

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/OU5VYKM3OTESLCCJ6VMBCV6ZKG \
  | 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: 753b5c299b74c9258849f5581157d95181bc5b09193eef5f97594c80d39f03f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7a4306b8807ff951888d280a3ba592fb02210168678a3a273fcb71a72c9f326",
    "cross_cats_sorted": [
      "math.AP",
      "math.DS",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-09-10T20:34:13Z",
    "title_canon_sha256": "fb591b653665ab01137af19c8d5b14bfc204d0b92ccd81a72eb1b5ce8c2df132"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.03585",
    "kind": "arxiv",
    "version": 1
  }
}