Pith Number

pith:J6L3TSRZ

pith:2016:J6L3TSRZ3LQEJ6ZTIHVLZP46VQ

not attested not anchored not stored refs pending

Planar least gradient problem: existence, regularity and anisotropic case

Wojciech G\'orny

arxiv:1608.02617 v2 · 2016-08-08 · 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{J6L3TSRZ3LQEJ6ZTIHVLZP46VQ}

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.

Cited by

1 paper in Pith

Stability of p-area minimizing surfaces in the Heisenberg group

Receipt and verification

First computed	2026-05-18T00:34:10.332838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f97b9ca39dae044fb3341eabcbf9eac0d9ba9c0db6d9fe739e7bff5e1eb6495

Aliases

arxiv: 1608.02617 · arxiv_version: 1608.02617v2 · doi: 10.48550/arxiv.1608.02617 · pith_short_12: J6L3TSRZ3LQE · pith_short_16: J6L3TSRZ3LQEJ6ZT · pith_short_8: J6L3TSRZ

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/J6L3TSRZ3LQEJ6ZTIHVLZP46VQ \
  | 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: 4f97b9ca39dae044fb3341eabcbf9eac0d9ba9c0db6d9fe739e7bff5e1eb6495

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcceeab2c84900fd807eb825737bdffdbc6b34652f03a202eab57867905d1389",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-08T20:40:52Z",
    "title_canon_sha256": "29b01db1e18da02da4355113412649ecdb92cb33fb85f051608f9134f4712b7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02617",
    "kind": "arxiv",
    "version": 2
  }
}