Pith Number

pith:J2AW3QGH

pith:2026:J2AW3QGHUZY5XKF37TZIBGKRKF

not attested not anchored not stored refs pending

On a Multiphase Vectorial Bernoulli Free Boundary Problem

Bozhidar Velichkov, Giovanni Siclari

arxiv:2605.19757 v1 · 2026-05-19 · 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{J2AW3QGHUZY5XKF37TZIBGKRKF}

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	2026-05-20T01:06:12.315781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e816dc0c7a671dba8bbfcf2809951516ba10073107d02642d1b51fafc0e66aa

Aliases

arxiv: 2605.19757 · arxiv_version: 2605.19757v1 · doi: 10.48550/arxiv.2605.19757 · pith_short_12: J2AW3QGHUZY5 · pith_short_16: J2AW3QGHUZY5XKF3 · pith_short_8: J2AW3QGH

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/J2AW3QGHUZY5XKF37TZIBGKRKF \
  | 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: 4e816dc0c7a671dba8bbfcf2809951516ba10073107d02642d1b51fafc0e66aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b399727c92f066f048adc352b57a89a3a5988d4e37ac6fc29ed1a3983f5f2689",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-19T12:30:53Z",
    "title_canon_sha256": "5993ad23d5415576cc4e7d57ec4ccfa019e8c683d3a1d466b77ad7eccaa697c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19757",
    "kind": "arxiv",
    "version": 1
  }
}