Pith Number

pith:4BCYFHAT

pith:2019:4BCYFHATHDTBIPMBZC2KXX22M7

not attested not anchored not stored refs pending

Two Phase Free Boundary Problem for Poisson Kernels

Max Engelstein, Max Goering, Simon Bortz, Tatiana Toro, Zihui Zhao

arxiv:1908.03033 v3 · 2019-08-08 · math.CA · math.AP · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4BCYFHATHDTBIPMBZC2KXX22M7}

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	2026-07-05T01:50:15.584220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e045829c1338e6143d81c8b4abdf5a67f3852627c52105c142a11e9e8554b426

Aliases

arxiv: 1908.03033 · arxiv_version: 1908.03033v3 · doi: 10.48550/arxiv.1908.03033 · pith_short_12: 4BCYFHATHDTB · pith_short_16: 4BCYFHATHDTBIPMB · pith_short_8: 4BCYFHAT

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/4BCYFHATHDTBIPMBZC2KXX22M7 \
  | 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: e045829c1338e6143d81c8b4abdf5a67f3852627c52105c142a11e9e8554b426

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "591b6b7a27f73133953ceb75b3d5d131df0e96735c0b3c02fb01590f6c7623a4",
    "cross_cats_sorted": [
      "math.AP",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-08-08T12:15:52Z",
    "title_canon_sha256": "ff46465fcfd4b7c5f3cd4df02a39527767aa674f99104b51fb5a9ad7b2ef963c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03033",
    "kind": "arxiv",
    "version": 3
  }
}