Pith Number

pith:QO74NAET

pith:2021:QO74NAETXV7V2RHLSZX3ZZUCZV

not attested not anchored not stored refs pending

Rectifiability and almost everywhere uniqueness of the blow-up for the vectorial Bernoulli free boundaries

Bozhidar Velichkov, Guido De Philippis, Luca Spolaor, Max Engelstein

arxiv:2107.12485 v2 · 2021-07-26 · 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{QO74NAETXV7V2RHLSZX3ZZUCZV}

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.

Cited by

2 papers in Pith

One-phase Free Boundary Problems on RCD Metric Measure Spaces

On a Multiphase Vectorial Bernoulli Free Boundary Problem

Receipt and verification

First computed	2026-07-05T03:04:06.151363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83bfc68093bd7f5d44eb966fbce682cd424caab3f727dfd464e0019add7ba84b

Aliases

arxiv: 2107.12485 · arxiv_version: 2107.12485v2 · doi: 10.48550/arxiv.2107.12485 · pith_short_12: QO74NAETXV7V · pith_short_16: QO74NAETXV7V2RHL · pith_short_8: QO74NAET

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/QO74NAETXV7V2RHLSZX3ZZUCZV \
  | 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: 83bfc68093bd7f5d44eb966fbce682cd424caab3f727dfd464e0019add7ba84b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c05b84848b76bfffe30fcacaacae2510dd0a5fbddd312bd9ca5a82c1583ec0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-07-26T21:16:20Z",
    "title_canon_sha256": "975ecb6ff57471c60fdd04c4aba269e192bde68c4d0846780f01ff4d466f819e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.12485",
    "kind": "arxiv",
    "version": 2
  }
}