Pith Number

pith:KSLSOU5U

pith:2011:KSLSOU5USVVMZPEEDQWYG7GP6X

not attested not anchored not stored refs pending

A-homology, A-homotopy and spectral sequences

Miguel Ottina

arxiv:1104.3726 v2 · 2011-04-19 · 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{KSLSOU5USVVMZPEEDQWYG7GP6X}

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	2026-05-18T02:52:14.598255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54972753b4956accbc841c2d837ccff5c02ce20902d985ab8e868cd0e2a5aaa1

Aliases

arxiv: 1104.3726 · arxiv_version: 1104.3726v2 · doi: 10.48550/arxiv.1104.3726 · pith_short_12: KSLSOU5USVVM · pith_short_16: KSLSOU5USVVMZPEE · pith_short_8: KSLSOU5U

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/KSLSOU5USVVMZPEEDQWYG7GP6X \
  | 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: 54972753b4956accbc841c2d837ccff5c02ce20902d985ab8e868cd0e2a5aaa1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afd678a4e9e9830a67c5b0999a4c8f6f6f15af679f7266e0e2b9552d5dcea6a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-04-19T12:26:00Z",
    "title_canon_sha256": "78925b1a9b37cea6c1a343dfa242c1ba26680a8fd4deb5b3b204805bc54335c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3726",
    "kind": "arxiv",
    "version": 2
  }
}