Pith Number

pith:JXU72AMM

pith:2024:JXU72AMMWYJAEMZ5YG4E42MD2Z

not attested not anchored not stored refs pending

Structure of the free interfaces near triple junction singularities in harmonic maps and optimal partition problems

Bozhidar Velichkov, Roberto Ognibene

arxiv:2412.00781 v4 · 2024-12-01 · 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{JXU72AMMWYJAEMZ5YG4E42MD2Z}

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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

On a Multiphase Vectorial Bernoulli Free Boundary Problem

Receipt and verification

First computed	2026-06-08T01:03:42.444749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4de9fd018cb61202333dc1b84e6983d676bc8d08e7e5c0505ce5d7dd414121bf

Aliases

arxiv: 2412.00781 · arxiv_version: 2412.00781v4 · doi: 10.48550/arxiv.2412.00781 · pith_short_12: JXU72AMMWYJA · pith_short_16: JXU72AMMWYJAEMZ5 · pith_short_8: JXU72AMM

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/JXU72AMMWYJAEMZ5YG4E42MD2Z \
  | 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: 4de9fd018cb61202333dc1b84e6983d676bc8d08e7e5c0505ce5d7dd414121bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69b847c6e6f0ff89a277925265dd62f675cca22d84fecae4a5a511a93b88b01c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-01T12:11:17Z",
    "title_canon_sha256": "054130ae77fcd907a8bde9f4b36507b6c14d16631a3d51882f8dffb890228e4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.00781",
    "kind": "arxiv",
    "version": 4
  }
}