Pith Number

pith:YMMYCQGS

pith:2009:YMMYCQGSDZMDV2JAGOFI7SECLE

not attested not anchored not stored refs pending

Affine structures and a tableau model for E_6 crystals

Anne Schilling, Brant Jones

arxiv:0909.2442 v2 · 2009-09-14 · math.CO · 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{YMMYCQGSDZMDV2JAGOFI7SECLE}

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	2026-05-18T04:30:03.873928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3198140d21e583ae920338a8fc8825932b6d44f3bd2dd402f706ccf5212d378

Aliases

arxiv: 0909.2442 · arxiv_version: 0909.2442v2 · doi: 10.48550/arxiv.0909.2442 · pith_short_12: YMMYCQGSDZMD · pith_short_16: YMMYCQGSDZMDV2JA · pith_short_8: YMMYCQGS

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/YMMYCQGSDZMDV2JAGOFI7SECLE \
  | 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: c3198140d21e583ae920338a8fc8825932b6d44f3bd2dd402f706ccf5212d378

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a29d8c5550fde2677a89e60e2dda6bde1e5378b053f9b1806ec72df9de4f6c25",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-09-14T00:37:59Z",
    "title_canon_sha256": "7d293343dc536bedb76dd380b0b5dbd72652ee6bc530d4b5026789e1aa8403b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.2442",
    "kind": "arxiv",
    "version": 2
  }
}