Pith Number

pith:UPPJQY2U

pith:2018:UPPJQY2UHDYCELNMNY36IVOAUL

not attested not anchored not stored refs pending

Polynomial growth of subharmonic functions in a strongly symmetric Riemannian manifold

Absos Ali Shaikh, Chandan Kumar Mondal

arxiv:1806.07215 v2 · 2018-06-19 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UPPJQY2UHDYCELNMNY36IVOAUL}

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	2026-05-18T00:12:31.396061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3de98635438f0222dac6e37e455c0a2e996f90dd704eb713cae0501bc4f62d2

Aliases

arxiv: 1806.07215 · arxiv_version: 1806.07215v2 · doi: 10.48550/arxiv.1806.07215 · pith_short_12: UPPJQY2UHDYC · pith_short_16: UPPJQY2UHDYCELNM · pith_short_8: UPPJQY2U

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/UPPJQY2UHDYCELNMNY36IVOAUL \
  | 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: a3de98635438f0222dac6e37e455c0a2e996f90dd704eb713cae0501bc4f62d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88ff667d8d0e58085e4b9bf04bc954bccefc94a3c44a45ebd975d3510df17d53",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-06-19T13:34:36Z",
    "title_canon_sha256": "8f0b31bf2e1c005e396c308206d2c09806a2eaa158689d64c6d976ebedb8e62f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.07215",
    "kind": "arxiv",
    "version": 2
  }
}