Pith Number

pith:OPWCNZHK

pith:2010:OPWCNZHKTDSL577YPSIKADOH5C

not attested not anchored not stored refs pending

A general comparison theorem for $p$-harmonic maps in homotopy class

Giona Veronelli

arxiv:1011.3703 v1 · 2010-11-16 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OPWCNZHKTDSL577YPSIKADOH5C}

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	2026-05-18T04:35:48.276263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73ec26e4ea98e4befff87c90a00dc7e8ab73e77c964f7bd95a2aa8938048a551

Aliases

arxiv: 1011.3703 · arxiv_version: 1011.3703v1 · doi: 10.48550/arxiv.1011.3703 · pith_short_12: OPWCNZHKTDSL · pith_short_16: OPWCNZHKTDSL577Y · pith_short_8: OPWCNZHK

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/OPWCNZHKTDSL577YPSIKADOH5C \
  | 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: 73ec26e4ea98e4befff87c90a00dc7e8ab73e77c964f7bd95a2aa8938048a551

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0b45470383d3fa0b49e5ef9480e6f519ae1a50e791004e365ff96ecd705989f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-11-16T14:16:40Z",
    "title_canon_sha256": "da02c757a47153719f1f8d63106c04deb0159b1030241396ffe5f0ab23afb1b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3703",
    "kind": "arxiv",
    "version": 1
  }
}