Pith Number

pith:POP7Y63X

pith:2020:POP7Y63XBSMEO4LSG5MVAGKSWJ

not attested not anchored not stored refs pending

Tropical flag varieties

Christopher Eur, Leon Zhang, Madeline Brandt

arxiv:2005.13727 v2 · 2020-05-28 · 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{POP7Y63XBSMEO4LSG5MVAGKSWJ}

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	2026-07-05T02:20:28.724350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b9ffc7b770c984771723759501952b2780dc3c0ccb7be45eed0b604790b8f5a

Aliases

arxiv: 2005.13727 · arxiv_version: 2005.13727v2 · doi: 10.48550/arxiv.2005.13727 · pith_short_12: POP7Y63XBSME · pith_short_16: POP7Y63XBSMEO4LS · pith_short_8: POP7Y63X

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/POP7Y63XBSMEO4LSG5MVAGKSWJ \
  | 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: 7b9ffc7b770c984771723759501952b2780dc3c0ccb7be45eed0b604790b8f5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a802c8ae57b007a29c00d77358e525632a43639a112f0c9a10ce2b59185e570d",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-05-28T01:16:24Z",
    "title_canon_sha256": "6be95e4a66bec396ee131701d8c0b3f9b8addadea994cd5de96f1957ba64d054"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.13727",
    "kind": "arxiv",
    "version": 2
  }
}