Pith Number

pith:TKKCSGUL

pith:2012:TKKCSGULFM2NGPC5T5UCBR7XPO

not attested not anchored not stored refs pending

Triangle singularities, ADE-chains, and weighted projective lines

Dirk Kussin, Hagen Meltzer, Helmut Lenzing

arxiv:1203.5505 v1 · 2012-03-25 · math.RT · 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{TKKCSGULFM2NGPC5T5UCBR7XPO}

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	2026-05-18T03:59:14.902240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a94291a8b2b34d33c5d9f6820c7f77b89eab29388f1e078d2c0ef3139f1a5bd

Aliases

arxiv: 1203.5505 · arxiv_version: 1203.5505v1 · doi: 10.48550/arxiv.1203.5505 · pith_short_12: TKKCSGULFM2N · pith_short_16: TKKCSGULFM2NGPC5 · pith_short_8: TKKCSGUL

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/TKKCSGULFM2NGPC5T5UCBR7XPO \
  | 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: 9a94291a8b2b34d33c5d9f6820c7f77b89eab29388f1e078d2c0ef3139f1a5bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ca24167ed5022e37ac52f03de8f58149cc17242ea23fd45683dc5e9dcd4ce75",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-03-25T15:13:21Z",
    "title_canon_sha256": "f179cc4c431ffa4bea003e2a084c9155446b789eef0b3726c358ace6762c3c16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5505",
    "kind": "arxiv",
    "version": 1
  }
}