Pith Number

pith:VN3ZHXXZ

pith:2018:VN3ZHXXZ7FCHPQQQJEYJ5ZIYBW

not attested not anchored not stored refs pending

Whitney's Theorem, Triangular Sets and Probabilistic Descent on Manifolds

David W. Dreisigmeyer

arxiv:1808.08548 v1 · 2018-08-26 · math.OC · math.AG · 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{VN3ZHXXZ7FCHPQQQJEYJ5ZIYBW}

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	2026-05-18T00:07:16.102667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab7793def9f94477c21049309ee5180d9cf7c3ed5c9b530ea15fca14c8e0fdfb

Aliases

arxiv: 1808.08548 · arxiv_version: 1808.08548v1 · doi: 10.48550/arxiv.1808.08548 · pith_short_12: VN3ZHXXZ7FCH · pith_short_16: VN3ZHXXZ7FCHPQQQ · pith_short_8: VN3ZHXXZ

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/VN3ZHXXZ7FCHPQQQJEYJ5ZIYBW \
  | 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: ab7793def9f94477c21049309ee5180d9cf7c3ed5c9b530ea15fca14c8e0fdfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4784ed05b17ca6008e8d7c72f922887282ca37669c4c998fd0ea1306a1792665",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-08-26T13:17:37Z",
    "title_canon_sha256": "1f216a78652739c6e14d63c635a5c971b15d9c60d2252d5c5b9f378207645a7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.08548",
    "kind": "arxiv",
    "version": 1
  }
}