Pith Number

pith:AJQB42VY

pith:2007:AJQB42VYHR7XW2TAKWRWYZAE7I

not attested not anchored not stored refs pending

Freeness of equivariant cohomology and mutants of compactified representations

Matthias Franz, Volker Puppe

arxiv:0710.2302 v2 · 2007-10-11 · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AJQB42VYHR7XW2TAKWRWYZAE7I}

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	2026-05-18T02:49:31.917123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02601e6ab83c7f7b6a6055a36c6404fa274ef7dcc925fa566d5a2bed1d87254e

Aliases

arxiv: 0710.2302 · arxiv_version: 0710.2302v2 · doi: 10.48550/arxiv.0710.2302 · pith_short_12: AJQB42VYHR7X · pith_short_16: AJQB42VYHR7XW2TA · pith_short_8: AJQB42VY

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/AJQB42VYHR7XW2TAKWRWYZAE7I \
  | 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: 02601e6ab83c7f7b6a6055a36c6404fa274ef7dcc925fa566d5a2bed1d87254e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9516395e89ae15d530f843cd79a032cfbdbbacf8f608bb865def2be460e4bc60",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2007-10-11T17:44:45Z",
    "title_canon_sha256": "71a5ef9a52c52ed0b8f5c9639ce43d9845a7009ff85da61fdb1dc5c8b9b79797"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.2302",
    "kind": "arxiv",
    "version": 2
  }
}