Pith Number

pith:F2O4Q6AO

pith:2025:F2O4Q6AOXUZ3YDQRYZ2Y6B4C2G

not attested not anchored not stored refs pending

Higher regularity in nonlocal free boundary problems

Bego\~na Barrios, Marvin Weidner, Xavier Ros-Oton

arxiv:2507.20581 v1 · 2025-07-28 · 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{F2O4Q6AOXUZ3YDQRYZ2Y6B4C2G}

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	2026-07-05T11:44:21.992503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e9dc8780ebd33bc0e11c6758f0782d1840e681aa6d3cf5a8b4fb21b5a5c02a3

Aliases

arxiv: 2507.20581 · arxiv_version: 2507.20581v1 · doi: 10.48550/arxiv.2507.20581 · pith_short_12: F2O4Q6AOXUZ3 · pith_short_16: F2O4Q6AOXUZ3YDQR · pith_short_8: F2O4Q6AO

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/F2O4Q6AOXUZ3YDQRYZ2Y6B4C2G \
  | 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: 2e9dc8780ebd33bc0e11c6758f0782d1840e681aa6d3cf5a8b4fb21b5a5c02a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0152113505a41f77ce092711940dd6e219159ae9632a28b7159f50d8c818b32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-28T07:28:42Z",
    "title_canon_sha256": "a2fb9cf9f2918027a9bea3cb274c0044a7f13634070fed71a8f9e235b2511621"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.20581",
    "kind": "arxiv",
    "version": 1
  }
}