Pith Number

pith:VBCLPZJZ

pith:2008:VBCLPZJZHE2THRZDG5JEH3LENZ

not attested not anchored not stored refs pending

Hermitian integral geometry

Andreas Bernig, Joseph H.G. Fu

arxiv:0801.0711 v9 · 2008-01-04 · 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{VBCLPZJZHE2THRZDG5JEH3LENZ}

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	2026-05-18T04:24:06.512826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a844b7e539393533c723375243ed646e772abc78be5b1a19c2cf2a4d6f8593aa

Aliases

arxiv: 0801.0711 · arxiv_version: 0801.0711v9 · doi: 10.48550/arxiv.0801.0711 · pith_short_12: VBCLPZJZHE2T · pith_short_16: VBCLPZJZHE2THRZD · pith_short_8: VBCLPZJZ

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/VBCLPZJZHE2THRZDG5JEH3LENZ \
  | 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: a844b7e539393533c723375243ed646e772abc78be5b1a19c2cf2a4d6f8593aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e49fbe7739e1daf92f9a1f242a20b83ad2763314353282e5440aabed5e6ca69b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-01-04T17:23:24Z",
    "title_canon_sha256": "fee55de3f2a0da2878aa6d0325ddae3fad5a8917d6cbb6d289d7ce514e787629"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.0711",
    "kind": "arxiv",
    "version": 9
  }
}