Pith Number

pith:KLXO4ZXB

pith:2012:KLXO4ZXB67X46RFWLWLD2QFSQT

not attested not anchored not stored refs pending

The Mayer-Vietoris Sequence for the Analytic Structure Group

Paul Siegel

arxiv:1212.0241 v1 · 2012-12-02 · 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{KLXO4ZXB67X46RFWLWLD2QFSQT}

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	2026-05-18T03:39:26.746249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52eeee66e1f7efcf44b65d963d40b284e3b01d55f0443bc7e3f78e0bf60ec941

Aliases

arxiv: 1212.0241 · arxiv_version: 1212.0241v1 · doi: 10.48550/arxiv.1212.0241 · pith_short_12: KLXO4ZXB67X4 · pith_short_16: KLXO4ZXB67X46RFW · pith_short_8: KLXO4ZXB

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/KLXO4ZXB67X46RFWLWLD2QFSQT \
  | 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: 52eeee66e1f7efcf44b65d963d40b284e3b01d55f0443bc7e3f78e0bf60ec941

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1a0e1a1d48ffbab5a2a72c579ba31ea74caf8a7d58d3bce01711bb4c0c61a05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2012-12-02T20:26:25Z",
    "title_canon_sha256": "d1b9da0452f16ae71975a7ce332cf1dc5c940fec937a35a1a2cf34009b85fab4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0241",
    "kind": "arxiv",
    "version": 1
  }
}