Pith Number

pith:ULNSP6XH

pith:2014:ULNSP6XHP6P4EJM7ELKA2JWXHD

not attested not anchored not stored refs pending

Torus Manifolds in Equivariant Complex Bordism

Alastair Darby

arxiv:1409.2720 v1 · 2014-09-09 · 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{ULNSP6XHP6P4EJM7ELKA2JWXHD}

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	2026-05-18T02:43:09.900422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2db27fae77f9fc2259f22d40d26d738ffafbd3cfbf10ab43a56a6c84e39f699

Aliases

arxiv: 1409.2720 · arxiv_version: 1409.2720v1 · doi: 10.48550/arxiv.1409.2720 · pith_short_12: ULNSP6XHP6P4 · pith_short_16: ULNSP6XHP6P4EJM7 · pith_short_8: ULNSP6XH

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/ULNSP6XHP6P4EJM7ELKA2JWXHD \
  | 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: a2db27fae77f9fc2259f22d40d26d738ffafbd3cfbf10ab43a56a6c84e39f699

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd74a406b2ad517746ed168ddfd346655ee261223935b41cde0f21365ee35a50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-09-09T12:54:07Z",
    "title_canon_sha256": "45ab984bf9907473583ad83b2baa3a42df2c112c124f44d5c2722e45b4c68927"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2720",
    "kind": "arxiv",
    "version": 1
  }
}