Pith Number

pith:DLW22CUO

pith:2025:DLW22CUOGNUAL3FGQ7KF3IKU3P

not attested not anchored not stored refs pending

The capillary Christoffel-Minkowski problem

Guofang Wang, Liangjun Weng, Xinqun Mei

arxiv:2512.16655 v2 · 2025-12-18 · 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{DLW22CUOGNUAL3FGQ7KF3IKU3P}

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	2026-05-20T00:05:39.362389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1aedad0a8e336805eca687d45da154dbd72c48f02d2808c92ea4c1d8e1f4eaf5

Aliases

arxiv: 2512.16655 · arxiv_version: 2512.16655v2 · doi: 10.48550/arxiv.2512.16655 · pith_short_12: DLW22CUOGNUA · pith_short_16: DLW22CUOGNUAL3FG · pith_short_8: DLW22CUO

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/DLW22CUOGNUAL3FGQ7KF3IKU3P \
  | 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: 1aedad0a8e336805eca687d45da154dbd72c48f02d2808c92ea4c1d8e1f4eaf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46287652ea0690c80cd39bba8488f7bff120651d4b9940dd87b0bee8272e43c8",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-12-18T15:25:26Z",
    "title_canon_sha256": "406cba96f935195af8c88efd815c31765655d01a40cb65a80c823f6b7e8e0bdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.16655",
    "kind": "arxiv",
    "version": 2
  }
}