Pith Number

pith:LLTLPY5E

pith:2011:LLTLPY5E35KLRK3DCCQD5IWVV6

not attested not anchored not stored refs pending

Spectral sequence operations converge to Araki-Kudo operations

Philip Hackney

arxiv:1101.5395 v3 · 2011-01-27 · 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{LLTLPY5E35KLRK3DCCQD5IWVV6}

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	2026-05-18T03:13:58.579186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ae6b7e3a4df54b8ab6310a03ea2d5afa7c7ddbc9d5b3fb24bf5b4083ad1567e

Aliases

arxiv: 1101.5395 · arxiv_version: 1101.5395v3 · doi: 10.48550/arxiv.1101.5395 · pith_short_12: LLTLPY5E35KL · pith_short_16: LLTLPY5E35KLRK3D · pith_short_8: LLTLPY5E

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/LLTLPY5E35KLRK3DCCQD5IWVV6 \
  | 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: 5ae6b7e3a4df54b8ab6310a03ea2d5afa7c7ddbc9d5b3fb24bf5b4083ad1567e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2e458293d8e17eb65801f4d4228065c7c1d1ee00e6950d74ffd2af81faafb2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-01-27T21:07:35Z",
    "title_canon_sha256": "db478f4244ea44a82e63f1b598ae0c130d4b0e1380e2dedd9cf34df5c2d66300"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5395",
    "kind": "arxiv",
    "version": 3
  }
}