Pith Number

pith:TSRMQDRC

pith:2017:TSRMQDRCLMIB5V33P6LDNNO5V6

not attested not anchored not stored refs pending

Representations of equipped graphs: Auslander-Reiten theory

William Crawley-Boevey

arxiv:1712.07444 v1 · 2017-12-20 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TSRMQDRCLMIB5V33P6LDNNO5V6}

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	2026-05-18T00:27:34.512269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ca2c80e225b101ed77b7f9636b5ddaf99b936fbf29f64cd08a77c20071b62c3

Aliases

arxiv: 1712.07444 · arxiv_version: 1712.07444v1 · doi: 10.48550/arxiv.1712.07444 · pith_short_12: TSRMQDRCLMIB · pith_short_16: TSRMQDRCLMIB5V33 · pith_short_8: TSRMQDRC

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/TSRMQDRCLMIB5V33P6LDNNO5V6 \
  | 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: 9ca2c80e225b101ed77b7f9636b5ddaf99b936fbf29f64cd08a77c20071b62c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b71c1aabf12fcf7d980dd9b1e25451ea738eca6028c1ac5832de0feaa6d7a9b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-12-20T12:30:36Z",
    "title_canon_sha256": "c42f3d3b252aaa80a03b7f28dac29dc79fd7c19dbcdb095c5214526809f98378"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07444",
    "kind": "arxiv",
    "version": 1
  }
}