Pith Number

pith:4GC2YAZO

pith:2016:4GC2YAZOV5HVIVHZK4QTYQFQWZ

not attested not anchored not stored refs pending

Cayley Transform on Stiefel manifolds

Daniel Tanr\'e, Enrique Mac\'ias-Virg\'os, Mar\'ia Jos\'e Pereira-S\'aez

arxiv:1612.07142 v1 · 2016-12-21 · 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{4GC2YAZOV5HVIVHZK4QTYQFQWZ}

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	2026-05-18T00:26:46.647962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e185ac032eaf4f5454f957213c40b0b647e43a452d75eb713f62fce6f56b2e80

Aliases

arxiv: 1612.07142 · arxiv_version: 1612.07142v1 · doi: 10.48550/arxiv.1612.07142 · pith_short_12: 4GC2YAZOV5HV · pith_short_16: 4GC2YAZOV5HVIVHZ · pith_short_8: 4GC2YAZO

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/4GC2YAZOV5HVIVHZK4QTYQFQWZ \
  | 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: e185ac032eaf4f5454f957213c40b0b647e43a452d75eb713f62fce6f56b2e80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be9b12b15a926e33330aa2359040c8e05ef00ee2b5a7d16e961d1e27a3d76cb3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-12-21T14:33:38Z",
    "title_canon_sha256": "1feb27c14b01c3b11c8a8f4a09576a4031131301e55e62d24740a3d43005a28f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07142",
    "kind": "arxiv",
    "version": 1
  }
}