Pith Number

pith:UJCV36U2

pith:2016:UJCV36U22MNH6YAFRYDAAZJ3ZR

not attested not anchored not stored refs pending

A Kirwan blow-up and trees of vector bundles

Guenther Trautmann

arxiv:1611.02128 v1 · 2016-11-07 · 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{UJCV36U22MNH6YAFRYDAAZJ3ZR}

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	2026-05-18T01:00:03.645594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2455dfa9ad31a7f60058e0600653bcc7f1ec60b0b45482f914f1bd9b746e05d

Aliases

arxiv: 1611.02128 · arxiv_version: 1611.02128v1 · doi: 10.48550/arxiv.1611.02128 · pith_short_12: UJCV36U22MNH · pith_short_16: UJCV36U22MNH6YAF · pith_short_8: UJCV36U2

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/UJCV36U22MNH6YAFRYDAAZJ3ZR \
  | 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: a2455dfa9ad31a7f60058e0600653bcc7f1ec60b0b45482f914f1bd9b746e05d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "751861b512d7bea13234fa8aad35c24902b83360efbe170fdb088e0c29aeca92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-11-07T15:49:01Z",
    "title_canon_sha256": "ea20af47976e124b8b15c42444d4da9af1ee94a041592a5b70f52dfe55db044b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02128",
    "kind": "arxiv",
    "version": 1
  }
}