Pith Number

pith:L3WGJ3TB

pith:2016:L3WGJ3TBFUU3ZSY7BGVASNUXVS

not attested not anchored not stored refs pending

The Canonical 2-Gerbe of a Holomorphic Vector Bundle

Markus Upmeier

arxiv:1601.04819 v2 · 2016-01-19 · 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{L3WGJ3TBFUU3ZSY7BGVASNUXVS}

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	2026-05-18T00:35:14.114877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5eec64ee612d29bccb1f09aa093697acb0813871a2adae09524ad6f4b950e292

Aliases

arxiv: 1601.04819 · arxiv_version: 1601.04819v2 · doi: 10.48550/arxiv.1601.04819 · pith_short_12: L3WGJ3TBFUU3 · pith_short_16: L3WGJ3TBFUU3ZSY7 · pith_short_8: L3WGJ3TB

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/L3WGJ3TBFUU3ZSY7BGVASNUXVS \
  | 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: 5eec64ee612d29bccb1f09aa093697acb0813871a2adae09524ad6f4b950e292

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc0f873c21bcac442246e2effa792466c2772e0d2acb2654323ac340babaf0c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-01-19T08:17:54Z",
    "title_canon_sha256": "fbf0727946af656a8bbcbb7cd0c4f3dc334b3d0d5adbe093236a1a7ff7bd1343"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04819",
    "kind": "arxiv",
    "version": 2
  }
}