Pith Number

pith:FVOAH3SK

pith:2005:FVOAH3SK4W5TA2VD3KFJP6OQDL

not attested not anchored not stored refs pending

Geometric structures of vectorial type

Ilka Agricola, Thomas Friedrich (HU Berlin)

arxiv:math/0509147 v1 · 2005-09-07 · 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{FVOAH3SK4W5TA2VD3KFJP6OQDL}

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	2026-05-18T03:07:55.292429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d5c03ee4ae5bb306aa3da8a97f9d01ae2c5a1e3dc727d36317d3be26d1b31a3

Aliases

arxiv: math/0509147 · arxiv_version: math/0509147v1 · doi: 10.48550/arxiv.math/0509147 · pith_short_12: FVOAH3SK4W5T · pith_short_16: FVOAH3SK4W5TA2VD · pith_short_8: FVOAH3SK

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/FVOAH3SK4W5TA2VD3KFJP6OQDL \
  | 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: 2d5c03ee4ae5bb306aa3da8a97f9d01ae2c5a1e3dc727d36317d3be26d1b31a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60da1355cf7e6b8c98eeca226a2d6b559376f30430baf7c83696ea00c297b7bf",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2005-09-07T08:56:23Z",
    "title_canon_sha256": "f10156fa953efc0a815ac90ad732850e7dc526875a55fd59501b867351b4ccdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509147",
    "kind": "arxiv",
    "version": 1
  }
}