Pith Number

pith:2IVTHBY2

pith:2012:2IVTHBY247JZJOIZJC7EHPNYGN

not attested not anchored not stored refs pending

Coxeter system of planes are sets of injectivity for the twisted spherical means on $\mathbb C^n$

R. K. Srivastava

arxiv:1204.2773 v4 · 2012-04-12 · 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{2IVTHBY247JZJOIZJC7EHPNYGN}

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	2026-05-18T02:56:21.475933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d22b33871ae7d394b91948be43bdb83377709d7f71c93a27c4470d813991605d

Aliases

arxiv: 1204.2773 · arxiv_version: 1204.2773v4 · doi: 10.48550/arxiv.1204.2773 · pith_short_12: 2IVTHBY247JZ · pith_short_16: 2IVTHBY247JZJOIZ · pith_short_8: 2IVTHBY2

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/2IVTHBY247JZJOIZJC7EHPNYGN \
  | 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: d22b33871ae7d394b91948be43bdb83377709d7f71c93a27c4470d813991605d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d710d35c1df317d0439b0c0c0ed2f24b9428451aaafe788a8fb21dbfc82a0aa7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-04-12T17:14:14Z",
    "title_canon_sha256": "e279df3981d8d510a5e70dd5915660eebba44c25af058cf35cd6f612d61f7f38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2773",
    "kind": "arxiv",
    "version": 4
  }
}