Pith Number

pith:7SMY6YUO

pith:2015:7SMY6YUOFBIRMQDZK2374DGYZB

not attested not anchored not stored refs pending

A parabolic analogue of the higher-order comparison theorem of De Silva and Savin

Agnid Banerjee, Nicola Garofalo

arxiv:1503.06340 v1 · 2015-03-21 · 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{7SMY6YUOFBIRMQDZK2374DGYZB}

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	2026-05-18T02:20:38.660120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc998f628e285116407956b7fe0cd8c84f81e505aefd8d776dd0c77612329410

Aliases

arxiv: 1503.06340 · arxiv_version: 1503.06340v1 · doi: 10.48550/arxiv.1503.06340 · pith_short_12: 7SMY6YUOFBIR · pith_short_16: 7SMY6YUOFBIRMQDZ · pith_short_8: 7SMY6YUO

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/7SMY6YUOFBIRMQDZK2374DGYZB \
  | 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: fc998f628e285116407956b7fe0cd8c84f81e505aefd8d776dd0c77612329410

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff5176e1815196a3f40c263ea4bb4983eb6ecd64e4372ae8a3ab1d95b6b20267",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-21T19:24:42Z",
    "title_canon_sha256": "74c752dd76c49a435d3f4b4d6a4c3f59ee2c942efa7108552c4fd097bb071a79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06340",
    "kind": "arxiv",
    "version": 1
  }
}