Pith Number

pith:E5R3KUME

pith:2015:E5R3KUMEQ4TBXMXECVPICBMQ65

not attested not anchored not stored refs pending

$\mathbb{A}^1$-equivalence of zero cycles on surfaces

Yi Zhu

arxiv:1510.01712 v3 · 2015-10-06 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E5R3KUMEQ4TBXMXECVPICBMQ65}

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	2026-05-18T00:52:42.020996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2763b5518487261bb2e4155e810590f754934ae17684f37bc3b1994661de2846

Aliases

arxiv: 1510.01712 · arxiv_version: 1510.01712v3 · doi: 10.48550/arxiv.1510.01712 · pith_short_12: E5R3KUMEQ4TB · pith_short_16: E5R3KUMEQ4TBXMXE · pith_short_8: E5R3KUME

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/E5R3KUMEQ4TBXMXECVPICBMQ65 \
  | 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: 2763b5518487261bb2e4155e810590f754934ae17684f37bc3b1994661de2846

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdde31a98ee4d2ba4b4fe7e1cdf28f032576fc6687a94603978e61bea7f70b89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-10-06T19:25:03Z",
    "title_canon_sha256": "ecf88cffb5f093799e3c7916377490cf4f956fade30ab195e1fa25e8e6ac8df0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01712",
    "kind": "arxiv",
    "version": 3
  }
}