Pith Number

pith:UBX4SFO3

pith:2017:UBX4SFO3LWBSTSS3HC2JAJ55EF

not attested not anchored not stored refs pending

On certain K-equivalent birational maps

Duo Li

arxiv:1701.04054 v2 · 2017-01-15 · 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{UBX4SFO3LWBSTSS3HC2JAJ55EF}

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	2026-05-18T00:52:35.200795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a06fc915db5d8329ca5b38b49027bd2166af527f252984ec002240e709f3f2f1

Aliases

arxiv: 1701.04054 · arxiv_version: 1701.04054v2 · doi: 10.48550/arxiv.1701.04054 · pith_short_12: UBX4SFO3LWBS · pith_short_16: UBX4SFO3LWBSTSS3 · pith_short_8: UBX4SFO3

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/UBX4SFO3LWBSTSS3HC2JAJ55EF \
  | 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: a06fc915db5d8329ca5b38b49027bd2166af527f252984ec002240e709f3f2f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e277fed205ff31e8f17e98116f7837d2b28966b59a13635d38256e76abdb3ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-01-15T15:02:43Z",
    "title_canon_sha256": "92e0c956984dac44fa64f6dd0b950484601638af1441bd24a52a7381aa60a751"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.04054",
    "kind": "arxiv",
    "version": 2
  }
}