Pith Number

pith:Z2JJKNCA

pith:2016:Z2JJKNCAXUF6FWSQ2UHSR2ACOM

not attested not anchored not stored refs pending

K-theoretic defect in Chern class identity for a free divisor

Xia Liao

arxiv:1612.07810 v1 · 2016-12-22 · 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{Z2JJKNCAXUF6FWSQ2UHSR2ACOM}

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	2026-05-18T00:54:08.595100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce92953440bd0be2da50d50f28e8027323281df9dd21d474db75ab0e7a8dfe53

Aliases

arxiv: 1612.07810 · arxiv_version: 1612.07810v1 · doi: 10.48550/arxiv.1612.07810 · pith_short_12: Z2JJKNCAXUF6 · pith_short_16: Z2JJKNCAXUF6FWSQ · pith_short_8: Z2JJKNCA

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/Z2JJKNCAXUF6FWSQ2UHSR2ACOM \
  | 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: ce92953440bd0be2da50d50f28e8027323281df9dd21d474db75ab0e7a8dfe53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd65aea64040d48ca4494ec74b5ae29efd5c418e4281c98785e2b92e6c3923ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-12-22T21:03:20Z",
    "title_canon_sha256": "aba965e94c1e480a0573f7bb6ca0e8cecf72c835fffafb8f59b3b5ebb3d0552a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07810",
    "kind": "arxiv",
    "version": 1
  }
}