Pith Number

pith:PKEBPO4A

pith:2016:PKEBPO4ACEZZC533PRLGT4JEJX

not attested not anchored not stored refs pending

The continuity method on Fano fibrations

Yashan Zhang, Zhenlei Zhang

arxiv:1612.01348 v3 · 2016-12-05 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PKEBPO4ACEZZC533PRLGT4JEJX}

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	2026-05-18T00:03:41.887864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a8817bb80113391777b7c5669f1244dc7ff2993e656e10b31cbd5d48b964a80

Aliases

arxiv: 1612.01348 · arxiv_version: 1612.01348v3 · doi: 10.48550/arxiv.1612.01348 · pith_short_12: PKEBPO4ACEZZ · pith_short_16: PKEBPO4ACEZZC533 · pith_short_8: PKEBPO4A

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/PKEBPO4ACEZZC533PRLGT4JEJX \
  | 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: 7a8817bb80113391777b7c5669f1244dc7ff2993e656e10b31cbd5d48b964a80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb12ab18591dab49227de8cf02effe4d5ab76ea01c8d04ad324d61beb5dc7501",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-12-05T13:36:34Z",
    "title_canon_sha256": "49c5d226349fe349401b847af776bd2f836658168be2e2351c8e8cfa83c17efc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01348",
    "kind": "arxiv",
    "version": 3
  }
}