Pith Number

pith:WAT3P4R5

pith:2025:WAT3P4R5VODBOYL5J4DLJDKC75

not attested not anchored not stored refs pending

The Gaussian Minkowski-type problems for $C$-pseudo-cones

Junjie Shan, Wenchuan Hu, Wenxue Xu

arxiv:2501.16449 v3 · 2025-01-27 · math.MG · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WAT3P4R5VODBOYL5J4DLJDKC75}

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	2026-07-05T10:46:22.564027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b027b7f23dab8617617d4f06b48d42ff5e81b20c282afbb4a58d012dc3eab8aa

Aliases

arxiv: 2501.16449 · arxiv_version: 2501.16449v3 · doi: 10.48550/arxiv.2501.16449 · pith_short_12: WAT3P4R5VODB · pith_short_16: WAT3P4R5VODBOYL5 · pith_short_8: WAT3P4R5

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/WAT3P4R5VODBOYL5J4DLJDKC75 \
  | 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: b027b7f23dab8617617d4f06b48d42ff5e81b20c282afbb4a58d012dc3eab8aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f0899aa98a9b23501c849c607422d755555312927782cb47d2c68a626982677",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2025-01-27T19:14:05Z",
    "title_canon_sha256": "d87f5e46e9def5822ef6ab8fa5370ba3935a7f04a4332fa125a39c1e558d8d0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.16449",
    "kind": "arxiv",
    "version": 3
  }
}