Pith Number

pith:PVGWUXRR

pith:2014:PVGWUXRRP7NURNJL22PUTYVXYW

not attested not anchored not stored refs pending

Bubbling solutions for supercritical problems on manifolds

Angela Pistoia, Giusi Vaira, Juan D\`avila

arxiv:1403.2513 v1 · 2014-03-11 · 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{PVGWUXRRP7NURNJL22PUTYVXYW}

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	2026-05-18T02:56:43.153185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d4d6a5e317fdb48b52bd69f49e2b7c5969557762c4e4b67fbfebaf8b0304eea

Aliases

arxiv: 1403.2513 · arxiv_version: 1403.2513v1 · doi: 10.48550/arxiv.1403.2513 · pith_short_12: PVGWUXRRP7NU · pith_short_16: PVGWUXRRP7NURNJL · pith_short_8: PVGWUXRR

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/PVGWUXRRP7NURNJL22PUTYVXYW \
  | 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: 7d4d6a5e317fdb48b52bd69f49e2b7c5969557762c4e4b67fbfebaf8b0304eea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c273bddef798c762ccc0c4a5d74aaf37342c20caa50a63085ee13497c714c252",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-03-11T09:25:07Z",
    "title_canon_sha256": "bc8df520f87eae80ce207172bf51b717ee302a770d156835042db0715b9aff0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.2513",
    "kind": "arxiv",
    "version": 1
  }
}