Pith Number

pith:GOIMWVOJ

pith:2009:GOIMWVOJQONFVYUV5AFHMUTM3E

not attested not anchored not stored refs pending

Spherical means in annular regions in the $n$-dimensional real hyperbolic spaces

Rama Rawat, R. K. Srivastava

arxiv:0908.2289 v5 · 2009-08-17 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GOIMWVOJQONFVYUV5AFHMUTM3E}

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	2026-05-18T04:07:06.877161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3390cb55c9839a5ae295e80a76526cd91cdd6b74784968ffaf19a105661407ba

Aliases

arxiv: 0908.2289 · arxiv_version: 0908.2289v5 · doi: 10.48550/arxiv.0908.2289 · pith_short_12: GOIMWVOJQONF · pith_short_16: GOIMWVOJQONFVYUV · pith_short_8: GOIMWVOJ

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/GOIMWVOJQONFVYUV5AFHMUTM3E \
  | 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: 3390cb55c9839a5ae295e80a76526cd91cdd6b74784968ffaf19a105661407ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0f5f3961172d842d47d6b88e242aa2efeac29f1a5867c78de3934ff90856b70",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-08-17T14:15:46Z",
    "title_canon_sha256": "ebacfeaecf0c0314b337d47d9bc799fc47f044910e31d6726e61cf1f2f4be1d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.2289",
    "kind": "arxiv",
    "version": 5
  }
}