Pith Number

pith:MA4BVGYF

pith:2014:MA4BVGYF2HFTWLLHV37AUSCJLH

not attested not anchored not stored refs pending

Equivariant bordism of 2-torus manifolds and unitary toric manifolds--a survey

Zhi L\"u

arxiv:1401.3052 v3 · 2014-01-14 · 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{MA4BVGYF2HFTWLLHV37AUSCJLH}

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	2026-07-05T00:02:51.999409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60381a9b05d1cb3b2d67aefe0a484959c0ecd88f460bceae27bf449d8b69f5c7

Aliases

arxiv: 1401.3052 · arxiv_version: 1401.3052v3 · doi: 10.48550/arxiv.1401.3052 · pith_short_12: MA4BVGYF2HFT · pith_short_16: MA4BVGYF2HFTWLLH · pith_short_8: MA4BVGYF

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/MA4BVGYF2HFTWLLHV37AUSCJLH \
  | 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: 60381a9b05d1cb3b2d67aefe0a484959c0ecd88f460bceae27bf449d8b69f5c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e156270542a1298e8718ff1fa8801ae1dd09a5dc828931443d1bcc2ccda7bb2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-01-14T02:14:37Z",
    "title_canon_sha256": "907fb057ca05e8f9849b11eff22d33843739dfc1a339be2ee5766535cf3c484d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3052",
    "kind": "arxiv",
    "version": 3
  }
}