Pith Number

pith:ZBW25N2Y

pith:2013:ZBW25N2YDUUDZ5QY3TAMLP4MP4

not attested not anchored not stored refs pending

Algebraic elliptic cohomology theory and flops, I

Gufang Zhao, Marc Levine, Yaping Yang

arxiv:1311.2159 v3 · 2013-11-09 · math.AG · 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{ZBW25N2YDUUDZ5QY3TAMLP4MP4}

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	2026-05-18T01:22:58.084175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c86daeb7581d283cf618dcc0c5bf8c7f3d4cd6776e290e1e37a3983273ca8eaf

Aliases

arxiv: 1311.2159 · arxiv_version: 1311.2159v3 · doi: 10.48550/arxiv.1311.2159 · pith_short_12: ZBW25N2YDUUD · pith_short_16: ZBW25N2YDUUDZ5QY · pith_short_8: ZBW25N2Y

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/ZBW25N2YDUUDZ5QY3TAMLP4MP4 \
  | 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: c86daeb7581d283cf618dcc0c5bf8c7f3d4cd6776e290e1e37a3983273ca8eaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7649194f455e8c43cdd5088a060d6d1cb1d05986d68ecb3088e30b8f3d55de05",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-11-09T11:20:18Z",
    "title_canon_sha256": "ec3a4cbef2d5da216fa7038d5b7667ca5136c257164fdbfd790f4f907b3e88ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2159",
    "kind": "arxiv",
    "version": 3
  }
}