Pith Number

pith:HKDSYPJX

pith:2016:HKDSYPJXRU32OQZCIYWSR4YQMN

not attested not anchored not stored refs pending

Iitaka fibrations for vector bundles

Ernesto C. Mistretta, Stefano Urbinati

arxiv:1611.09585 v2 · 2016-11-29 · 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{HKDSYPJXRU32OQZCIYWSR4YQMN}

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	2026-05-18T00:52:03.726137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a872c3d378d37a74322462d28f31063447dc58369e185e43dc6b53ee5acefc7

Aliases

arxiv: 1611.09585 · arxiv_version: 1611.09585v2 · doi: 10.48550/arxiv.1611.09585 · pith_short_12: HKDSYPJXRU32 · pith_short_16: HKDSYPJXRU32OQZC · pith_short_8: HKDSYPJX

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/HKDSYPJXRU32OQZCIYWSR4YQMN \
  | 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: 3a872c3d378d37a74322462d28f31063447dc58369e185e43dc6b53ee5acefc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3bb65e18dc9ad560e43d8adf06681acb8e8a11be80c599a0a965e640aab5465",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-11-29T12:16:56Z",
    "title_canon_sha256": "ea2e1f43a6ce7bdf0fc90d2ae1b9487b33ca8d1197adef940063a5e0571d3e49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09585",
    "kind": "arxiv",
    "version": 2
  }
}