Pith Number

pith:7JUTWGQ3

pith:2010:7JUTWGQ3WP5I42C57AQKAMQRZN

not attested not anchored not stored refs pending

Nonhomogeneous Variational Problems and Quasi-Minimizers on Metric Spaces

Jasun Gong, Juan J. Manfredi, Mikko Parviainen

arxiv:1008.4976 v1 · 2010-08-30 · math.AP · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7JUTWGQ3WP5I42C57AQKAMQRZN}

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	2026-05-18T04:41:43.306729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa693b1a1bb3fa8e685df820a03211cb7903f9f4ddf5f967fc2e96489ea0c51f

Aliases

arxiv: 1008.4976 · arxiv_version: 1008.4976v1 · doi: 10.48550/arxiv.1008.4976 · pith_short_12: 7JUTWGQ3WP5I · pith_short_16: 7JUTWGQ3WP5I42C5 · pith_short_8: 7JUTWGQ3

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/7JUTWGQ3WP5I42C57AQKAMQRZN \
  | 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: fa693b1a1bb3fa8e685df820a03211cb7903f9f4ddf5f967fc2e96489ea0c51f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec2e403e28e547c99711ff32163d9b95e544a74de89c702422544643074c7cbe",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-08-30T00:05:15Z",
    "title_canon_sha256": "6da6a1f0c50c842176e90ed95060878b644bd390beef62ea4a9aace7be3ea158"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4976",
    "kind": "arxiv",
    "version": 1
  }
}