Pith Number

pith:BAJ4WM57

pith:2016:BAJ4WM57IILHWPCDJ3UHIQTDIA

not attested not anchored not stored refs pending

Contraction algebra and singularity of three-dimensional flopping contraction

Zheng Hua

arxiv:1610.05467 v2 · 2016-10-18 · 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{BAJ4WM57IILHWPCDJ3UHIQTDIA}

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	2026-05-18T00:21:57.185803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0813cb33bf42167b3c434ee8744263400955796abe951c0f9d6bc65fd7a7b2b7

Aliases

arxiv: 1610.05467 · arxiv_version: 1610.05467v2 · doi: 10.48550/arxiv.1610.05467 · pith_short_12: BAJ4WM57IILH · pith_short_16: BAJ4WM57IILHWPCD · pith_short_8: BAJ4WM57

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/BAJ4WM57IILHWPCDJ3UHIQTDIA \
  | 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: 0813cb33bf42167b3c434ee8744263400955796abe951c0f9d6bc65fd7a7b2b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35a7aa3a92e54c36a9d47703afdf7eb477bdde393413d76df3e91e2f3ada59a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-10-18T08:03:12Z",
    "title_canon_sha256": "ae5218984014d2c94dcd6a4dd0f86a54422ffeae588dc039ff27d25f5c1d28f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05467",
    "kind": "arxiv",
    "version": 2
  }
}