Pith Number

pith:FCTJ5MDF

pith:2016:FCTJ5MDFJF565VXGT2REU7LBKJ

not attested not anchored not stored refs pending

On a phase field approximation of the planar Steiner problem: existence, regularity, and asymptotic of minimizers

Antoine Lemenant, Matthieu Bonnivard, Vincent Millot

arxiv:1611.07875 v1 · 2016-11-23 · 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{FCTJ5MDFJF565VXGT2REU7LBKJ}

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	2026-05-18T00:56:59.623960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28a69eb065497beed6e69ea24a7d615271bd8e2758f031ff694351b432079eb8

Aliases

arxiv: 1611.07875 · arxiv_version: 1611.07875v1 · doi: 10.48550/arxiv.1611.07875 · pith_short_12: FCTJ5MDFJF56 · pith_short_16: FCTJ5MDFJF565VXG · pith_short_8: FCTJ5MDF

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/FCTJ5MDFJF565VXGT2REU7LBKJ \
  | 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: 28a69eb065497beed6e69ea24a7d615271bd8e2758f031ff694351b432079eb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a564d20fb24983ea8cab4fffa3c72d9c7bc7dbd968b0c49b567dd09b80a6d3f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-23T16:45:40Z",
    "title_canon_sha256": "474d56af44294c9506f04a3739978e4dbfa7ed118b6d6a83af6842267bbb0c67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07875",
    "kind": "arxiv",
    "version": 1
  }
}