Pith Number

pith:5SSJW6HQ

pith:2015:5SSJW6HQZODRNQAWC2CHF4BHW3

not attested not anchored not stored refs pending

An axiomatic approach to gradients with applications to Dirichlet and obstacle problems beyond function spaces

Anders Bj\"orn, Jana Bj\"orn, Joakim Arnlind

arxiv:1501.06696 v1 · 2015-01-27 · math.FA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5SSJW6HQZODRNQAWC2CHF4BHW3}

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	2026-05-18T01:17:37.659012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eca49b78f0cb8716c016168472f027b6ea58e3da065f031e89654666d3a0a0be

Aliases

arxiv: 1501.06696 · arxiv_version: 1501.06696v1 · doi: 10.48550/arxiv.1501.06696 · pith_short_12: 5SSJW6HQZODR · pith_short_16: 5SSJW6HQZODRNQAW · pith_short_8: 5SSJW6HQ

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/5SSJW6HQZODRNQAWC2CHF4BHW3 \
  | 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: eca49b78f0cb8716c016168472f027b6ea58e3da065f031e89654666d3a0a0be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f229b3b85d1652f84b231748a6e70e5213315c2544a2f948d099673ce555d572",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-01-27T09:11:34Z",
    "title_canon_sha256": "5835b1be58679dcd5def85df489e8ce262a83ac2361fc5327032248b2b2549dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06696",
    "kind": "arxiv",
    "version": 1
  }
}