Pith Number

pith:5KSUUPQP

pith:2011:5KSUUPQPWHLTLWQKVFNIJ4YBGR

not attested not anchored not stored refs pending

A spectral sequence for fusion systems

Antonio D\'iaz Ramos

arxiv:1109.1952 v4 · 2011-09-09 · math.AT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5KSUUPQPWHLTLWQKVFNIJ4YBGR}

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	2026-05-18T02:41:43.666732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaa54a3e0fb1d735da0aa95a84f301344c77099828b023fb4ca176ea7ba4f285

Aliases

arxiv: 1109.1952 · arxiv_version: 1109.1952v4 · doi: 10.48550/arxiv.1109.1952 · pith_short_12: 5KSUUPQPWHLT · pith_short_16: 5KSUUPQPWHLTLWQK · pith_short_8: 5KSUUPQP

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/5KSUUPQPWHLTLWQKVFNIJ4YBGR \
  | 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: eaa54a3e0fb1d735da0aa95a84f301344c77099828b023fb4ca176ea7ba4f285

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0959c154c6e0fc1436d3363cd5a9870e95b45465511ad6d4bf7506ca1b1d6f63",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-09-09T10:03:09Z",
    "title_canon_sha256": "17e0c1984f59d5538abac8a24dc9e3ba61f889ff3098b96bccfd62a66362729b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1952",
    "kind": "arxiv",
    "version": 4
  }
}