Pith Number

pith:CVJX6PYB

pith:2026:CVJX6PYBGW2RKOIPBVIBSUVQRV

not attested not anchored not stored refs pending

A Bernstein-type theorem for capillary graphs in a half-space

Chao Li, Jonathan J. Zhu, Nick Edelen

arxiv:2606.01715 v1 · 2026-06-01 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CVJX6PYBGW2RKOIPBVIBSUVQRV}

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	2026-06-02T02:04:40.720178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15537f3f0135b515390f0d501952b08d5cf2d4674517f200ea433ec2830f23c9

Aliases

arxiv: 2606.01715 · arxiv_version: 2606.01715v1 · doi: 10.48550/arxiv.2606.01715 · pith_short_12: CVJX6PYBGW2R · pith_short_16: CVJX6PYBGW2RKOIP · pith_short_8: CVJX6PYB

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/CVJX6PYBGW2RKOIPBVIBSUVQRV \
  | 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: 15537f3f0135b515390f0d501952b08d5cf2d4674517f200ea433ec2830f23c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f76d3608e7a5ac3247f191fd748a3ed254863d45c79457af4083f8cf831dfd0",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-01T05:33:07Z",
    "title_canon_sha256": "d0c418fb7367e434f0aae52245a7e9ea37036c01557c95bcd385d7ef9b99fe18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01715",
    "kind": "arxiv",
    "version": 1
  }
}