Pith Number

pith:NEPBZKVH

pith:2017:NEPBZKVHGZFEAWPDC343XX4HLI

not attested not anchored not stored refs pending

A two-phase free boundary problem for harmonic measure and uniform rectifiability

Jonas Azzam, Mihalis Mourgoglou, Xavier Tolsa

arxiv:1710.10111 v5 · 2017-10-27 · math.AP · 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{NEPBZKVHGZFEAWPDC343XX4HLI}

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	2026-07-05T00:37:41.962526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

691e1caaa7364a4059e316f9bbdf875a3d59d79b2b3014b78489aa8e3eb67b11

Aliases

arxiv: 1710.10111 · arxiv_version: 1710.10111v5 · doi: 10.48550/arxiv.1710.10111 · pith_short_12: NEPBZKVHGZFE · pith_short_16: NEPBZKVHGZFEAWPD · pith_short_8: NEPBZKVH

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/NEPBZKVHGZFEAWPDC343XX4HLI \
  | 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: 691e1caaa7364a4059e316f9bbdf875a3d59d79b2b3014b78489aa8e3eb67b11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90cbd53a977cfbd055e2deedfba9e046853556a9fd576853840d6050cc9d5c85",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-10-27T12:55:55Z",
    "title_canon_sha256": "34456883f2bf5f951811a577857611e3874eafbedba4e0c8c30ef98a8552c539"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10111",
    "kind": "arxiv",
    "version": 5
  }
}