Pith Number

pith:W7AQ6RRQ

pith:2021:W7AQ6RRQWHWI665TFC5H4Y4BYO

not attested not anchored not stored refs pending

(Quasi-)conformal methods in two-dimensional free boundary problems

Bozhidar Velichkov, Guido De Philippis, Luca Spolaor

arxiv:2110.14075 v1 · 2021-10-26 · math.AP · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W7AQ6RRQWHWI665TFC5H4Y4BYO}

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	2026-07-05T03:26:23.507180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7c10f4630b1ec8f7bb328ba7e6381c3b8535e76ab4f7882fd762c2d462020d4

Aliases

arxiv: 2110.14075 · arxiv_version: 2110.14075v1 · doi: 10.48550/arxiv.2110.14075 · pith_short_12: W7AQ6RRQWHWI · pith_short_16: W7AQ6RRQWHWI665T · pith_short_8: W7AQ6RRQ

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/W7AQ6RRQWHWI665TFC5H4Y4BYO \
  | 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: b7c10f4630b1ec8f7bb328ba7e6381c3b8535e76ab4f7882fd762c2d462020d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6f5ee00787b8f6a009a50d5c9c148ddfcd2bf0f27afaf879fd5375e2ab1584c",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-10-26T23:02:49Z",
    "title_canon_sha256": "dbef7b74816fadfff372e00285bc29516b3d648aacfe62a090dcedaa033fd243"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.14075",
    "kind": "arxiv",
    "version": 1
  }
}