Pith Number

pith:J7YEIL5A

pith:2022:J7YEIL5A243CQGLTL2MA6V5X3A

not attested not anchored not stored refs pending

Polyhedral and Tropical Geometry of Flag Positroids

Christopher Eur, Jonathan Boretsky, Lauren Williams

arxiv:2208.09131 v5 · 2022-08-19 · math.CO · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J7YEIL5A243CQGLTL2MA6V5X3A}

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	2026-07-05T10:17:04.050438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ff0442fa0d7362819735e980f57b7d81a755d67c76f722c0dc93b80e678bfcc

Aliases

arxiv: 2208.09131 · arxiv_version: 2208.09131v5 · doi: 10.48550/arxiv.2208.09131 · pith_short_12: J7YEIL5A243C · pith_short_16: J7YEIL5A243CQGLT · pith_short_8: J7YEIL5A

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/J7YEIL5A243CQGLTL2MA6V5X3A \
  | 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: 4ff0442fa0d7362819735e980f57b7d81a755d67c76f722c0dc93b80e678bfcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3ed93f3932a9177f9c7bd1c27afdfc66376ad40dddff58d1c33b4f10496402f",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-08-19T03:05:09Z",
    "title_canon_sha256": "2229e3bf680d3cf1e01bde5473955d8b536665c2d76938dff203777bbdc63e9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.09131",
    "kind": "arxiv",
    "version": 5
  }
}