Pith Number

pith:TSBJC5X7

pith:2013:TSBJC5X7RK4ZOPZZVKS2VRXMK4

not attested not anchored not stored refs pending

A higher limit approach to homology theories

Roman Mikhailov, Sergei O. Ivanov

arxiv:1309.4920 v1 · 2013-09-19 · math.KT · 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{TSBJC5X7RK4ZOPZZVKS2VRXMK4}

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	2026-05-18T02:43:00.781283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c829176ff8ab9973f39aaa5aac6ec571390dc883b5348b3711f403f8e5e6d79

Aliases

arxiv: 1309.4920 · arxiv_version: 1309.4920v1 · doi: 10.48550/arxiv.1309.4920 · pith_short_12: TSBJC5X7RK4Z · pith_short_16: TSBJC5X7RK4ZOPZZ · pith_short_8: TSBJC5X7

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/TSBJC5X7RK4ZOPZZVKS2VRXMK4 \
  | 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: 9c829176ff8ab9973f39aaa5aac6ec571390dc883b5348b3711f403f8e5e6d79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69c4de845670a803ce09dd170d41d27ffb5d6232b55d078cabafea9c9b69b947",
    "cross_cats_sorted": [
      "math.AT",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2013-09-19T10:35:04Z",
    "title_canon_sha256": "16b0b1a382ac200fff95ba2451849a00f3deba8b09221ab5d4b3576363484620"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4920",
    "kind": "arxiv",
    "version": 1
  }
}