Pith Number

pith:HASOHN25

pith:2014:HASOHN25JDRP52BWBU3CYEIYRT

not attested not anchored not stored refs pending

Lower bound for ranks of invariant forms

Harm Derksen, Zach Teitler

arxiv:1409.0061 v1 · 2014-08-29 · 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{HASOHN25JDRP52BWBU3CYEIYRT}

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	2026-05-18T02:43:53.464716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3824e3b75d48e2fee8360d362c11188cddf10d0eff1905ce9cf552bb3ecdce2f

Aliases

arxiv: 1409.0061 · arxiv_version: 1409.0061v1 · doi: 10.48550/arxiv.1409.0061 · pith_short_12: HASOHN25JDRP · pith_short_16: HASOHN25JDRP52BW · pith_short_8: HASOHN25

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/HASOHN25JDRP52BWBU3CYEIYRT \
  | 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: 3824e3b75d48e2fee8360d362c11188cddf10d0eff1905ce9cf552bb3ecdce2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "281add35bb33cdbfe53ac649fb3b6c9ffcccd4022dd20bd1a41035413c4eef59",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-08-29T23:57:23Z",
    "title_canon_sha256": "03b6cbe9529d8a0965313b7a20dfd751e16b6aa1819cba6f8eaa52d880e456ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0061",
    "kind": "arxiv",
    "version": 1
  }
}