Pith Number

pith:5AYOK4ZF

pith:2017:5AYOK4ZF2XPRXIBMHAVHSUPAMI

not attested not anchored not stored refs pending

Cohomological Dimension, Connectivity, and Lusternik--Schnirelmann category

Yuli Rudyak

arxiv:1703.03788 v1 · 2017-03-10 · 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{5AYOK4ZF2XPRXIBMHAVHSUPAMI}

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	2026-05-18T00:48:55.725364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e830e57325d5df1ba02c382a7951e06210c5b933817f8bac9eda0f40b94acf0e

Aliases

arxiv: 1703.03788 · arxiv_version: 1703.03788v1 · doi: 10.48550/arxiv.1703.03788 · pith_short_12: 5AYOK4ZF2XPR · pith_short_16: 5AYOK4ZF2XPRXIBM · pith_short_8: 5AYOK4ZF

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/5AYOK4ZF2XPRXIBMHAVHSUPAMI \
  | 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: e830e57325d5df1ba02c382a7951e06210c5b933817f8bac9eda0f40b94acf0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f314796a002f0b71379f91b2dfb46be0487f4a7e654fedf518623f98a74ea2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-03-10T18:37:55Z",
    "title_canon_sha256": "690828038a9e89ea1dccb1c8d426473eaacb41ea638fd15bc6e8860a545da409"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03788",
    "kind": "arxiv",
    "version": 1
  }
}