Pith Number

pith:AIHSE3RM

pith:2015:AIHSE3RMFUW5IDG3NCH7VF2GLY

not attested not anchored not stored refs pending

Some applications of $\tau $-tilting theory

Shen Li, Shunhua Zhang

arxiv:1512.03613 v1 · 2015-12-11 · math.RT · 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{AIHSE3RMFUW5IDG3NCH7VF2GLY}

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	2026-05-18T01:24:31.911597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

020f226e2c2d2dd40cdb688ffa97465e273f6e9200da12da5c81a7e842ad3db5

Aliases

arxiv: 1512.03613 · arxiv_version: 1512.03613v1 · doi: 10.48550/arxiv.1512.03613 · pith_short_12: AIHSE3RMFUW5 · pith_short_16: AIHSE3RMFUW5IDG3 · pith_short_8: AIHSE3RM

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/AIHSE3RMFUW5IDG3NCH7VF2GLY \
  | 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: 020f226e2c2d2dd40cdb688ffa97465e273f6e9200da12da5c81a7e842ad3db5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de4731f17f1e4b8a9d34afc9d79715299c18bfb5ff840ccffe93b1a53c8fc4ff",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-12-11T12:11:41Z",
    "title_canon_sha256": "e4debcac483ba33e26e493d6c43fdc6b9e37451ae742ece06d44818f75bb0a04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03613",
    "kind": "arxiv",
    "version": 1
  }
}