Pith Number

pith:FR3VWLVM

pith:2019:FR3VWLVMWAMQOHR4XUFGKYIDEB

not attested not anchored not stored refs pending

Regularity of the free boundary for the two-phase Bernoulli problem

Bozhidar Velichkov, Guido De Philippis, Luca Spolaor

arxiv:1911.02165 v2 · 2019-11-06 · 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{FR3VWLVMWAMQOHR4XUFGKYIDEB}

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	2026-07-05T00:19:11.277878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c775b2eacb019071e3cbd0a6561032059d1ca3dccd7f11d9451c55dc9d77be9

Aliases

arxiv: 1911.02165 · arxiv_version: 1911.02165v2 · doi: 10.48550/arxiv.1911.02165 · pith_short_12: FR3VWLVMWAMQ · pith_short_16: FR3VWLVMWAMQOHR4 · pith_short_8: FR3VWLVM

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/FR3VWLVMWAMQOHR4XUFGKYIDEB \
  | 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: 2c775b2eacb019071e3cbd0a6561032059d1ca3dccd7f11d9451c55dc9d77be9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a79d83973a3703a901e6966f7c910e759e67a297a0ae1bbdd9ecf6d5e090298",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-11-06T02:13:42Z",
    "title_canon_sha256": "f03ad0bb4799b61b829fc30c2378397d670d3bd63a1d6d4f6865b5452c0fbb63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.02165",
    "kind": "arxiv",
    "version": 2
  }
}