Pith Number

pith:4AJM7RGU

pith:2012:4AJM7RGU4VIRJR5HSUXFY27ASR

not attested not anchored not stored refs pending

A non-local inequality and global existence

Joachim Krieger, Philip T. Gressman, Robert M. Strain

arxiv:1202.4088 v1 · 2012-02-18 · math.AP · math-ph · math.CA · 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{4AJM7RGU4VIRJR5HSUXFY27ASR}

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	2026-05-18T01:20:22.538220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e012cfc4d4e55114c7a7952e5c6be0947b4843b187314deabad24190d8794f58

Aliases

arxiv: 1202.4088 · arxiv_version: 1202.4088v1 · doi: 10.48550/arxiv.1202.4088 · pith_short_12: 4AJM7RGU4VIR · pith_short_16: 4AJM7RGU4VIRJR5H · pith_short_8: 4AJM7RGU

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/4AJM7RGU4VIRJR5HSUXFY27ASR \
  | 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: e012cfc4d4e55114c7a7952e5c6be0947b4843b187314deabad24190d8794f58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74f1805cd2b42141775dabe634a80f7462c6926abf2f68073f7a1b8b35eb8c77",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-02-18T17:50:19Z",
    "title_canon_sha256": "56ecb6ce909b4fa5002064260ed559f72f8e6c65e12e32308fba5ada1ac9c98f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4088",
    "kind": "arxiv",
    "version": 1
  }
}