Pith Number

pith:RZZHUK3W

pith:2017:RZZHUK3WYW4UGBOCUWPYSHBYSH

not attested not anchored not stored refs pending

Alternative (Oriented) Singular Cochains and the Modified Cup Product

Ali Taghavi, Homayoon Eshraghi, Taliya Sahihi

arxiv:1703.03683 v2 · 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{RZZHUK3WYW4UGBOCUWPYSHBYSH}

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	2026-05-18T00:43:35.123381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e727a2b76c5b94305c2a59f891c3891cdea6505cf3e6fce44f58e9e5ae990e7

Aliases

arxiv: 1703.03683 · arxiv_version: 1703.03683v2 · doi: 10.48550/arxiv.1703.03683 · pith_short_12: RZZHUK3WYW4U · pith_short_16: RZZHUK3WYW4UGBOC · pith_short_8: RZZHUK3W

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/RZZHUK3WYW4UGBOCUWPYSHBYSH \
  | 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: 8e727a2b76c5b94305c2a59f891c3891cdea6505cf3e6fce44f58e9e5ae990e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f972cb0745edb3c7499acee2a87601f9bd55ba6a23e1a43d3c28278b7432211",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-03-10T13:50:09Z",
    "title_canon_sha256": "d7d1d85ee5fba0c6a2976eb02ac69a998c69a56192d82c6eb32295980166c52b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03683",
    "kind": "arxiv",
    "version": 2
  }
}