Pith Number

pith:5EL22LWM

pith:2006:5EL22LWMYOGGWUX6QEYIYB5PSG

not attested not anchored not stored refs pending

Lectures on Hall algebras

Olivier Schiffmann

arxiv:math/0611617 v2 · 2006-11-20 · math.RT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5EL22LWMYOGGWUX6QEYIYB5PSG}

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.

Cited by

3 papers in Pith

Hall Geometry and Auslander-Reiten Quiver

Quiver Schur algebras and cohomological Hall algebras

Receipt and verification

First computed	2026-07-04T15:57:09.631379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e917ad2eccc38c6b52fe81308c07af919af986cbfe58d68be58e8213a879ab07

Aliases

arxiv: math/0611617 · arxiv_version: math/0611617v2 · doi: 10.48550/arxiv.math/0611617 · pith_short_12: 5EL22LWMYOGG · pith_short_16: 5EL22LWMYOGGWUX6 · pith_short_8: 5EL22LWM

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/5EL22LWMYOGGWUX6QEYIYB5PSG \
  | 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: e917ad2eccc38c6b52fe81308c07af919af986cbfe58d68be58e8213a879ab07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e517490f655dc0f135e88fae7474f1ba2dbe8cd654fafe9e02295f2cc531e4d5",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2006-11-20T20:28:14Z",
    "title_canon_sha256": "23cda40cf2683f91881383ac8a924841d804a606acc4dfe881b5d6b60b15610b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611617",
    "kind": "arxiv",
    "version": 2
  }
}