Pith Number

pith:RKZQOJ2B

pith:2015:RKZQOJ2B2L7O3MIA2H4NLMRUGP

not attested not anchored not stored refs pending

Maximal averages associated to families of finite type surfaces

Ramesh Manna

arxiv:1510.08649 v2 · 2015-10-29 · 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{RKZQOJ2B2L7O3MIA2H4NLMRUGP}

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	2026-05-18T01:03:50.971935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ab3072741d2feedb100d1f8d5b23433f6d000b196d42fe8de9841854537e99b

Aliases

arxiv: 1510.08649 · arxiv_version: 1510.08649v2 · doi: 10.48550/arxiv.1510.08649 · pith_short_12: RKZQOJ2B2L7O · pith_short_16: RKZQOJ2B2L7O3MIA · pith_short_8: RKZQOJ2B

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/RKZQOJ2B2L7O3MIA2H4NLMRUGP \
  | 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: 8ab3072741d2feedb100d1f8d5b23433f6d000b196d42fe8de9841854537e99b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69db08dcff3fa8f3cde3045c9aed216c0c9673b3bcbc55fd00d5d6841ea32f86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-10-29T11:21:06Z",
    "title_canon_sha256": "a4d5d65dd1307f980fa555c3b0acd9ed7de0afcd89d44ee3244d53d2ecc3fe68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08649",
    "kind": "arxiv",
    "version": 2
  }
}