Pith Number

pith:TVPUHMMD

pith:2012:TVPUHMMDAXVNJDBE3GFVRGUGSU

not attested not anchored not stored refs pending

The strong elliptic maximum principle for vector bundles and applications to minimal maps

Andreas Savas-Halilaj, Knut Smoczyk

arxiv:1205.2379 v1 · 2012-05-10 · 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{TVPUHMMDAXVNJDBE3GFVRGUGSU}

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	2026-05-18T03:55:55.698270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d5f43b18305ead48c24d98b589a869522e05e61042ef42d43e98a60812b7b9b

Aliases

arxiv: 1205.2379 · arxiv_version: 1205.2379v1 · doi: 10.48550/arxiv.1205.2379 · pith_short_12: TVPUHMMDAXVN · pith_short_16: TVPUHMMDAXVNJDBE · pith_short_8: TVPUHMMD

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/TVPUHMMDAXVNJDBE3GFVRGUGSU \
  | 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: 9d5f43b18305ead48c24d98b589a869522e05e61042ef42d43e98a60812b7b9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f2dec249584526db72db146e3a7881e00c09509cc295f0e4efececb6a7956a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-05-10T20:09:52Z",
    "title_canon_sha256": "89330b5e4fea47d8a5ba431bf7c7e527ea60b431e73196e679c96f5f457ebb0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2379",
    "kind": "arxiv",
    "version": 1
  }
}