Pith Number

pith:3AMM3WN6

pith:2013:3AMM3WN6EPWJOOX55E72XQUPKN

not attested not anchored not stored refs pending

Bijections for the Shi and Ish arrangements

Andrew Timothy Wilson, Brendon Rhoades, Emily Leven

arxiv:1307.6523 v1 · 2013-07-24 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3AMM3WN6EPWJOOX55E72XQUPKN}

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	2026-05-18T03:17:36.273513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d818cdd9be23ec973afde93fabc28f53424b543fd7ffb92068550586361ece47

Aliases

arxiv: 1307.6523 · arxiv_version: 1307.6523v1 · doi: 10.48550/arxiv.1307.6523 · pith_short_12: 3AMM3WN6EPWJ · pith_short_16: 3AMM3WN6EPWJOOX5 · pith_short_8: 3AMM3WN6

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/3AMM3WN6EPWJOOX55E72XQUPKN \
  | 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: d818cdd9be23ec973afde93fabc28f53424b543fd7ffb92068550586361ece47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "795aa54a2fdff317967edac66b27bb21ebc821e2f1120ae788c6bd92714859de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-24T18:34:48Z",
    "title_canon_sha256": "89747d8603383ad1600b4a6b8a21a700c30e5d7c6aad8cb93979f534bcb50517"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6523",
    "kind": "arxiv",
    "version": 1
  }
}