Pith Number

pith:YS2CCIFO

pith:2012:YS2CCIFODDRXC3SHA6SNJN3RXS

not attested not anchored not stored refs pending

Mixed $A_p$-$A_\infty$ estimates with one supremum

Andrei K. Lerner, Kabe Moen

arxiv:1212.0571 v3 · 2012-12-03 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YS2CCIFODDRXC3SHA6SNJN3RXS}

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	2026-05-18T03:11:22.760025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4b42120ae18e3716e4707a4d4b771bc9672f3f481121a094887233d03ffb7f6

Aliases

arxiv: 1212.0571 · arxiv_version: 1212.0571v3 · doi: 10.48550/arxiv.1212.0571 · pith_short_12: YS2CCIFODDRX · pith_short_16: YS2CCIFODDRXC3SH · pith_short_8: YS2CCIFO

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/YS2CCIFODDRXC3SHA6SNJN3RXS \
  | 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: c4b42120ae18e3716e4707a4d4b771bc9672f3f481121a094887233d03ffb7f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9c955237e9fcca53a98e6e9a53963f1001407f04b7e3f3dfc32e1e56b93f642",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-12-03T21:49:48Z",
    "title_canon_sha256": "e54a44e6d22fa70620b77074ea88fa0f3c3d278dfd4deff0cc08865bde1d96d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0571",
    "kind": "arxiv",
    "version": 3
  }
}