Pith Number

pith:FEN4QH2E

pith:2012:FEN4QH2EQQRQDZGPWAZHWLBQAE

not attested not anchored not stored refs pending

On the homotopy Dirichlet problem for p-harmonic maps

Giona Veronelli, Stefano Pigola

arxiv:1204.5430 v2 · 2012-04-24 · math.DG · 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{FEN4QH2EQQRQDZGPWAZHWLBQAE}

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	2026-05-18T02:27:57.420793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

291bc81f44842301e4cfb0327b2c300104e68daec0913d63457356bb12bdac97

Aliases

arxiv: 1204.5430 · arxiv_version: 1204.5430v2 · doi: 10.48550/arxiv.1204.5430 · pith_short_12: FEN4QH2EQQRQ · pith_short_16: FEN4QH2EQQRQDZGP · pith_short_8: FEN4QH2E

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/FEN4QH2EQQRQDZGPWAZHWLBQAE \
  | 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: 291bc81f44842301e4cfb0327b2c300104e68daec0913d63457356bb12bdac97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77252c1632d80835fafc3e2c7194d7e73415635a7f57df634e87ab25582ec6bf",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-04-24T17:00:45Z",
    "title_canon_sha256": "821e40d9c321d8857a6984cfef324253fcd520481688434c56f9421b7a84c23d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5430",
    "kind": "arxiv",
    "version": 2
  }
}