Pith Number

pith:PDRO47M2

pith:2012:PDRO47M2X7N2OTTZHQ2NGBY5H4

not attested not anchored not stored refs pending

Sequential weak continuity of null Lagrangians at the boundary

Agnieszka Kalamajska, Martin Kruzik, Stefan Kroemer

arxiv:1210.1454 v1 · 2012-10-04 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PDRO47M2X7N2OTTZHQ2NGBY5H4}

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	2026-05-18T03:44:03.501247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78e2ee7d9abfdba74e793c34d3071d3f20b4402fe7848b56da685689d30ec932

Aliases

arxiv: 1210.1454 · arxiv_version: 1210.1454v1 · doi: 10.48550/arxiv.1210.1454 · pith_short_12: PDRO47M2X7N2 · pith_short_16: PDRO47M2X7N2OTTZ · pith_short_8: PDRO47M2

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/PDRO47M2X7N2OTTZHQ2NGBY5H4 \
  | 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: 78e2ee7d9abfdba74e793c34d3071d3f20b4402fe7848b56da685689d30ec932

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1e4885d6d5712928f1208b8dfd9d6ed345b982fd656fb3e7a743d1b6e6a5462",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-04T14:14:29Z",
    "title_canon_sha256": "c4b7485396c27fa33c5d6ca97469e20701416c0c893eebb6e2e985582366b217"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1454",
    "kind": "arxiv",
    "version": 1
  }
}