Pith Number

pith:QW7RT4SS

pith:2018:QW7RT4SSF6C6TWJ35SJYAGFPMV

not attested not anchored not stored refs pending

Persistence Steenrod modules

Anibal M. Medina-Mardones, Guillaume Tauzin, Umberto Lupo

arxiv:1812.05031 v3 · 2018-12-12 · 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{QW7RT4SSF6C6TWJ35SJYAGFPMV}

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	2026-07-05T04:10:49.399831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85bf19f2522f85e9d93bec938018af657c71f0bd3995357241f8c5cc29d6a1a2

Aliases

arxiv: 1812.05031 · arxiv_version: 1812.05031v3 · doi: 10.48550/arxiv.1812.05031 · pith_short_12: QW7RT4SSF6C6 · pith_short_16: QW7RT4SSF6C6TWJ3 · pith_short_8: QW7RT4SS

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/QW7RT4SSF6C6TWJ35SJYAGFPMV \
  | 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: 85bf19f2522f85e9d93bec938018af657c71f0bd3995357241f8c5cc29d6a1a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a4c1b48d4dd27d123117fcb5f5551f1a65e705177d408d2cf22a283a592efed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-12-12T17:06:48Z",
    "title_canon_sha256": "21654a852d90915ebfe354081c32663a721500fd3eab1581f09cfc59767ef907"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05031",
    "kind": "arxiv",
    "version": 3
  }
}