Pith Number

pith:4TXYWU2W

pith:2012:4TXYWU2WLHN7PNQ3AFA7OST7BC

not attested not anchored not stored refs pending

A note on the almost everywhere convergence to initial data for some evolution equations

I. Abu-Falahah, J. L. Torrea, P. R. Stinga

arxiv:1206.4530 v2 · 2012-06-20 · math.AP · math.CA · 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{4TXYWU2WLHN7PNQ3AFA7OST7BC}

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	2026-05-18T03:25:14.648986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4ef8b535659dbf7b61b0141f74a7f08b638fb015f8052ab3b72d3d4e0506d00

Aliases

arxiv: 1206.4530 · arxiv_version: 1206.4530v2 · doi: 10.48550/arxiv.1206.4530 · pith_short_12: 4TXYWU2WLHN7 · pith_short_16: 4TXYWU2WLHN7PNQ3 · pith_short_8: 4TXYWU2W

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/4TXYWU2WLHN7PNQ3AFA7OST7BC \
  | 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: e4ef8b535659dbf7b61b0141f74a7f08b638fb015f8052ab3b72d3d4e0506d00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c054d70eb7532c043110abd30f597837e74660ebb3a6bc1b36b198519ed39316",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-06-20T15:22:54Z",
    "title_canon_sha256": "a00db48a139ec5b769c919e8a434750e83439d7208f2b72b93864c9d360d89ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4530",
    "kind": "arxiv",
    "version": 2
  }
}