Pith Number

pith:PU4PTNNG

pith:2018:PU4PTNNGA5WYFGS2P2CHLIWU3Y

not attested not anchored not stored refs pending

The homotopy Leray spectral sequence

Aravind Asok, Fr\'ed\'eric D\'eglise, Jan Nagel

arxiv:1812.09574 v2 · 2018-12-22 · math.AG · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PU4PTNNGA5WYFGS2P2CHLIWU3Y}

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	2026-05-17T23:46:41.190956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d38f9b5a6076d829a5a7e8475a2d4de33aafbde00f6e6240c6e3f04c4b64f8b

Aliases

arxiv: 1812.09574 · arxiv_version: 1812.09574v2 · doi: 10.48550/arxiv.1812.09574 · pith_short_12: PU4PTNNGA5WY · pith_short_16: PU4PTNNGA5WYFGS2 · pith_short_8: PU4PTNNG

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/PU4PTNNGA5WYFGS2P2CHLIWU3Y \
  | 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: 7d38f9b5a6076d829a5a7e8475a2d4de33aafbde00f6e6240c6e3f04c4b64f8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db7438766bfbea5fa498fec45dca3b643c5efc43a8ed36e62346f42100af8d8f",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-12-22T17:57:51Z",
    "title_canon_sha256": "a698fa1e1f52eb28f780857e6ed6725c89ae876f0ade755a67b99624825b36e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.09574",
    "kind": "arxiv",
    "version": 2
  }
}