Pith Number

pith:2BRAVZAN

pith:2011:2BRAVZANRCMYJ3PL7XMND7Y6BS

not attested not anchored not stored refs pending

Variational splines on Riemannian manifolds with applications to integral geometry

Isaac Pesenson

arxiv:1104.1709 v1 · 2011-04-09 · 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{2BRAVZANRCMYJ3PL7XMND7Y6BS}

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	2026-05-18T04:24:43.312207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0620ae40d889984edebfdd8d1ff1e0c9e0f4f67e46c24fe708705cc4bd72497

Aliases

arxiv: 1104.1709 · arxiv_version: 1104.1709v1 · doi: 10.48550/arxiv.1104.1709 · pith_short_12: 2BRAVZANRCMY · pith_short_16: 2BRAVZANRCMYJ3PL · pith_short_8: 2BRAVZAN

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/2BRAVZANRCMYJ3PL7XMND7Y6BS \
  | 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: d0620ae40d889984edebfdd8d1ff1e0c9e0f4f67e46c24fe708705cc4bd72497

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd6839f5031323db86a03f693c833498336225eba1f2cc97931bb77b206a4b32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-04-09T14:13:55Z",
    "title_canon_sha256": "415017f9343c7eace5ed9862a49654f254ba7429cd2d9b992aa188765eb988df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1709",
    "kind": "arxiv",
    "version": 1
  }
}