Pith Number

pith:5BHITMQQ

pith:2015:5BHITMQQ3RPQYQFQWWLK3YDWK4

not attested not anchored not stored refs pending

A Singular Integral approach to a Two Phase Free Boundary Problem

Simon Bortz, Steve Hofmann

arxiv:1505.05419 v2 · 2015-05-20 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5BHITMQQ3RPQYQFQWWLK3YDWK4}

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	2026-05-18T01:27:05.244963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e84e89b210dc5f0c40b0b596ade076571963a011414822841886f392c16379a2

Aliases

arxiv: 1505.05419 · arxiv_version: 1505.05419v2 · doi: 10.48550/arxiv.1505.05419 · pith_short_12: 5BHITMQQ3RPQ · pith_short_16: 5BHITMQQ3RPQYQFQ · pith_short_8: 5BHITMQQ

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/5BHITMQQ3RPQYQFQWWLK3YDWK4 \
  | 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: e84e89b210dc5f0c40b0b596ade076571963a011414822841886f392c16379a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e99e61795c888065aaa944610d450611c7fe44d9c860dbbf4e6d723109c2b58d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-05-20T15:25:58Z",
    "title_canon_sha256": "d1a354805dae479c42347935d7ce56403aad8f28a05e2a2a8b2838ff1acb5153"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05419",
    "kind": "arxiv",
    "version": 2
  }
}