Pith Number

pith:OO2EO27L

pith:2026:OO2EO27LGLAKC7347IAYKIYJRK

not attested not anchored not stored refs pending

Detropicalization as a proof technique

Darij Grinberg, Tom Roby

arxiv:2605.30511 v1 · 2026-05-28 · 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{OO2EO27LGLAKC7347IAYKIYJRK}

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	2026-06-01T01:02:58.331940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73b4476beb32c0a17f7cfa018523098a9ee62f7a71fee7a0255861486855c65d

Aliases

arxiv: 2605.30511 · arxiv_version: 2605.30511v1 · doi: 10.48550/arxiv.2605.30511 · pith_short_12: OO2EO27LGLAK · pith_short_16: OO2EO27LGLAKC734 · pith_short_8: OO2EO27L

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/OO2EO27LGLAKC7347IAYKIYJRK \
  | 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: 73b4476beb32c0a17f7cfa018523098a9ee62f7a71fee7a0255861486855c65d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c98988a74a8df6e82788ecf72dc9567826596c280a253d2e6fbdc44f9bb6e4d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-28T19:47:13Z",
    "title_canon_sha256": "17abd0b40793ef6a4f8bbd95e108a139da675f661debe03a4ea0fcf001134ee4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30511",
    "kind": "arxiv",
    "version": 1
  }
}