Pith Number

pith:IMAA63AZ

pith:2015:IMAA63AZEGQUXXTAV3N5LASWXH

not attested not anchored not stored refs pending

A Short Proof of Increased Parabolic Regularity

Nicholas Michalowski, Stephen Pankavich

arxiv:1502.01773 v1 · 2015-02-06 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IMAA63AZEGQUXXTAV3N5LASWXH}

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	2026-05-18T01:34:35.114184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43000f6c1921a14bde60aedbd58256b9f997cf21b915d955985b29bc634663be

Aliases

arxiv: 1502.01773 · arxiv_version: 1502.01773v1 · doi: 10.48550/arxiv.1502.01773 · pith_short_12: IMAA63AZEGQU · pith_short_16: IMAA63AZEGQUXXTA · pith_short_8: IMAA63AZ

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/IMAA63AZEGQUXXTAV3N5LASWXH \
  | 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: 43000f6c1921a14bde60aedbd58256b9f997cf21b915d955985b29bc634663be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8aa3a319f7071a7d917b7e82a9ec3b04d59b396946574391fe72112836dc33d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-06T01:58:23Z",
    "title_canon_sha256": "44f9c5637e0708518018f1abe8e5c9157b6c0a88d20a1ed672ce003d568526d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01773",
    "kind": "arxiv",
    "version": 1
  }
}