Pith Number

pith:MQNSUWAD

pith:2007:MQNSUWADMXB2FPEN5Q5GOOIEEN

not attested not anchored not stored refs pending

The Fr\"olicher spectral sequence can be arbitrarily non degenerate

Laura Bigalke, S\"onke Rollenske

arxiv:0709.0481 v3 · 2007-09-04 · math.AG · 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{MQNSUWADMXB2FPEN5Q5GOOIEEN}

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	2026-05-18T03:06:34.894820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

641b2a580365c3a2bc8dec3a67390423579bd91fb38a6be4d357c50fbed0075f

Aliases

arxiv: 0709.0481 · arxiv_version: 0709.0481v3 · doi: 10.48550/arxiv.0709.0481 · pith_short_12: MQNSUWADMXB2 · pith_short_16: MQNSUWADMXB2FPEN · pith_short_8: MQNSUWAD

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/MQNSUWADMXB2FPEN5Q5GOOIEEN \
  | 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: 641b2a580365c3a2bc8dec3a67390423579bd91fb38a6be4d357c50fbed0075f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ff6d69c7d790e6356a7b769bd5a43a7643cdd0fd584205ba3a40dacb0212650",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-09-04T16:53:27Z",
    "title_canon_sha256": "c622867b865ddeb3213b92a2dd3f55d8548d396ab19e27e3e0d3ee171425990f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.0481",
    "kind": "arxiv",
    "version": 3
  }
}