Pith Number

pith:54AYQMW2

pith:2018:54AYQMW2OZXKBDSV4ZNAZLBDMX

not attested not anchored not stored refs pending

Algebraic virtual cycles for quantum singularity theories

Huai-Liang Chang, Jun Li, Young-Hoon Kiem

arxiv:1806.00216 v2 · 2018-06-01 · 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{54AYQMW2OZXKBDSV4ZNAZLBDMX}

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	2026-05-18T00:00:35.125985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef018832da766ea08e55e65a0cac2365d93c19cd0be785cc993b7b6ade99f18c

Aliases

arxiv: 1806.00216 · arxiv_version: 1806.00216v2 · doi: 10.48550/arxiv.1806.00216 · pith_short_12: 54AYQMW2OZXK · pith_short_16: 54AYQMW2OZXKBDSV · pith_short_8: 54AYQMW2

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/54AYQMW2OZXKBDSV4ZNAZLBDMX \
  | 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: ef018832da766ea08e55e65a0cac2365d93c19cd0be785cc993b7b6ade99f18c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a974d088a16d45de3c5d96bdbe3b1eda4905ca469dd5c29537f933f2a130326d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-06-01T06:49:32Z",
    "title_canon_sha256": "2e3ea3658ba159b3082a240c3998a9fee6bf5578865994f0367ac6a695a0212d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.00216",
    "kind": "arxiv",
    "version": 2
  }
}