Pith Number

pith:GTSCITKX

pith:2021:GTSCITKX3BN7JETLOJ3JIQ7LJZ

not attested not anchored not stored refs pending

Diagonally Embedded Sets of ${\rm Trop}^+G(2,n)$'s in ${\rm Trop}\, G(2,n)$: Is There a Critical Value of $n$?

Freddy Cachazo

arxiv:2104.10628 v1 · 2021-04-21 · math.CO · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GTSCITKX3BN7JETLOJ3JIQ7LJZ}

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	2026-07-05T02:34:04.186531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34e4244d57d85bf4926b72769443eb4e5ad58a39c49cd7ae7fac28e9b15ccdc7

Aliases

arxiv: 2104.10628 · arxiv_version: 2104.10628v1 · doi: 10.48550/arxiv.2104.10628 · pith_short_12: GTSCITKX3BN7 · pith_short_16: GTSCITKX3BN7JETL · pith_short_8: GTSCITKX

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/GTSCITKX3BN7JETLOJ3JIQ7LJZ \
  | 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: 34e4244d57d85bf4926b72769443eb4e5ad58a39c49cd7ae7fac28e9b15ccdc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7ce2b59ad97a7d1e85078248e9c0f81e3db2bac44d77c6546dd822c09d99228",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-04-21T16:40:30Z",
    "title_canon_sha256": "249973f55aa6467099c46d56e4d8e22444483152505e4c7812a3f169c64c73f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.10628",
    "kind": "arxiv",
    "version": 1
  }
}