Pith Number

pith:PPJJFQ7P

pith:2005:PPJJFQ7PQGHAA5MH5PFANCK4TV

not attested not anchored not stored refs pending

Spaces with many affine functions

Alexander Lytchak, Petra Schwer (Petra Hitzelberger)

arxiv:math/0511583 v1 · 2005-11-23 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PPJJFQ7PQGHAA5MH5PFANCK4TV}

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	2026-05-18T03:27:12.281050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bd292c3ef818e007587ebca06895c9d6bf2ae6e1beb0dcd36a3fb350c20f415

Aliases

arxiv: math/0511583 · arxiv_version: math/0511583v1 · doi: 10.48550/arxiv.math/0511583 · pith_short_12: PPJJFQ7PQGHA · pith_short_16: PPJJFQ7PQGHAA5MH · pith_short_8: PPJJFQ7P

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/PPJJFQ7PQGHAA5MH5PFANCK4TV \
  | 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: 7bd292c3ef818e007587ebca06895c9d6bf2ae6e1beb0dcd36a3fb350c20f415

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a726debf005eca12c192e9981679bbab6c455ad7c5afef2a71e6197bf0e552e7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.MG",
    "submitted_at": "2005-11-23T14:08:04Z",
    "title_canon_sha256": "234c18b61217c12f9a02fdef4379008ee371ddae35c7383c2438466b11fad6bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511583",
    "kind": "arxiv",
    "version": 1
  }
}