Pith Number

pith:FQ6ZQQ2Y

pith:2008:FQ6ZQQ2YBDJFIUEW4X4TA2UBOO

not attested not anchored not stored refs pending

Symmetric topological complexity of projective and lens spaces

Jesus Gonzalez, Peter Landweber

arxiv:0809.0816 v5 · 2008-09-04 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FQ6ZQQ2YBDJFIUEW4X4TA2UBOO}

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	2026-05-18T02:41:51.520936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c3d98435808d2545096e5f9306a8173a9289650dc35ba875383e4da66815aba

Aliases

arxiv: 0809.0816 · arxiv_version: 0809.0816v5 · doi: 10.48550/arxiv.0809.0816 · pith_short_12: FQ6ZQQ2YBDJF · pith_short_16: FQ6ZQQ2YBDJFIUEW · pith_short_8: FQ6ZQQ2Y

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/FQ6ZQQ2YBDJFIUEW4X4TA2UBOO \
  | 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: 2c3d98435808d2545096e5f9306a8173a9289650dc35ba875383e4da66815aba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdc73b9bbabd3363b8127bd4ed27b552b3ccff08790b2a07e5e5d88a567a1373",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2008-09-04T13:53:48Z",
    "title_canon_sha256": "94de895ba707449213fac120d46570391d4b1738c802a9e60aee4facf344e05b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.0816",
    "kind": "arxiv",
    "version": 5
  }
}