Pith Number

pith:VKD6WR26

pith:2013:VKD6WR26XA3WPXLYAKLL2KMG6C

not attested not anchored not stored refs pending

Tilting bundles and the "missing part" on the weighted projective line of type $(2, 2, n)$

Jianmin Chen, Shiquan Ruan, Yanan Lin

arxiv:1304.5108 v1 · 2013-04-18 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VKD6WR26XA3WPXLYAKLL2KMG6C}

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	2026-05-18T03:27:41.738074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa87eb475eb83767dd780296bd2986f0a489efbbe6d2c4525216284eb5a69338

Aliases

arxiv: 1304.5108 · arxiv_version: 1304.5108v1 · doi: 10.48550/arxiv.1304.5108 · pith_short_12: VKD6WR26XA3W · pith_short_16: VKD6WR26XA3WPXLY · pith_short_8: VKD6WR26

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/VKD6WR26XA3WPXLYAKLL2KMG6C \
  | 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: aa87eb475eb83767dd780296bd2986f0a489efbbe6d2c4525216284eb5a69338

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58c2f9104426f1df02c53d447599d48e6ed87676d378e3dc1ff88d7aaea3dd4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-04-18T12:37:02Z",
    "title_canon_sha256": "11df0f49e6492826cadae0427c9b4890f9837720ef014801d5046267d61258a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5108",
    "kind": "arxiv",
    "version": 1
  }
}