Pith Number

pith:M722K5SJ

pith:2024:M722K5SJMSIDNQQIXMLKZDBBYN

not attested not anchored not stored refs pending

Border subrank via a generalised Hilbert-Mumford criterion

Benjamin Biaggi, Chia-Yu Chang, Filip Rupniewski, Jan Draisma

arxiv:2402.10674 v2 · 2024-02-16 · math.AG · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M722K5SJMSIDNQQIXMLKZDBBYN}

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	2026-07-05T10:47:25.074049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67f5a57649649036c208bb16ac8c21c365f6ec4a033c2c047908304e311d277b

Aliases

arxiv: 2402.10674 · arxiv_version: 2402.10674v2 · doi: 10.48550/arxiv.2402.10674 · pith_short_12: M722K5SJMSID · pith_short_16: M722K5SJMSIDNQQI · pith_short_8: M722K5SJ

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/M722K5SJMSIDNQQIXMLKZDBBYN \
  | 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: 67f5a57649649036c208bb16ac8c21c365f6ec4a033c2c047908304e311d277b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92574bf2812a6c64c7f8887708d670f3583df1838f8206c42a07826059b047a7",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-02-16T13:25:49Z",
    "title_canon_sha256": "421f2a03a8c7cce276e28e66c0a2a4412571b6d3af0762dce3178cf74b07d0e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.10674",
    "kind": "arxiv",
    "version": 2
  }
}