Pith Number

pith:ABLNF5UQ

pith:2017:ABLNF5UQTOS3ELQQHCD5UCGTQ4

not attested not anchored not stored refs pending

Quiver mutation and combinatorial DT-invariants

Bernhard Keller

arxiv:1709.03143 v2 · 2017-09-10 · math.CO · math.AG · 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{ABLNF5UQTOS3ELQQHCD5UCGTQ4}

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

1 paper in Pith

$g$-vectors and $DT$-$F$-polynomials for Grassmannians

Receipt and verification

First computed	2026-05-18T00:35:30.315667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0056d2f6909ba5b22e103887da08d38703e4129b766c9778ee86be5739bef899

Aliases

arxiv: 1709.03143 · arxiv_version: 1709.03143v2 · doi: 10.48550/arxiv.1709.03143 · pith_short_12: ABLNF5UQTOS3 · pith_short_16: ABLNF5UQTOS3ELQQ · pith_short_8: ABLNF5UQ

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/ABLNF5UQTOS3ELQQHCD5UCGTQ4 \
  | 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: 0056d2f6909ba5b22e103887da08d38703e4129b766c9778ee86be5739bef899

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02a7ccb85b88a0af56018ad857908e8055204ae8cad46a559d5aa0c163537191",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-10T17:16:06Z",
    "title_canon_sha256": "e31e91d0ee0f479fb1752a3b1a3862dcf7db4c5f92e10b6fde5824cddeddd55e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.03143",
    "kind": "arxiv",
    "version": 2
  }
}