Pith Number

pith:BMZWWK67

pith:2009:BMZWWK67IEAT3HNHCYHFO4HS5I

not attested not anchored not stored refs pending

On p-harmonic maps and convex functions

Giona Veronelli

arxiv:0904.4497 v2 · 2009-04-29 · math.AP · 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{BMZWWK67IEAT3HNHCYHFO4HS5I}

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	2026-05-18T04:20:38.918257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b336b2bdf41013d9da7160e5770f2ea228222ce99d397edf8be732cb61c86f0

Aliases

arxiv: 0904.4497 · arxiv_version: 0904.4497v2 · doi: 10.48550/arxiv.0904.4497 · pith_short_12: BMZWWK67IEAT · pith_short_16: BMZWWK67IEAT3HNH · pith_short_8: BMZWWK67

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/BMZWWK67IEAT3HNHCYHFO4HS5I \
  | 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: 0b336b2bdf41013d9da7160e5770f2ea228222ce99d397edf8be732cb61c86f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0331c41cd84ef01175e2a1cd9cbb29f243854c3afc1a031c8e2b4077e28a9ca3",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-04-29T12:24:43Z",
    "title_canon_sha256": "6a3de1bea898b04d38657460101592752c7738ac4bb8fa7a07574a7617cb509a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.4497",
    "kind": "arxiv",
    "version": 2
  }
}