Pith Number

pith:RSIN3PHL

pith:2013:RSIN3PHLPK57TECBRKHRZ7TAMA

not attested not anchored not stored refs pending

Sharp bounds for higher linear syzygies and classifications of projective varieties

Kangjin Han, Sijong Kwak

arxiv:1304.6376 v1 · 2013-04-23 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RSIN3PHLPK57TECBRKHRZ7TAMA}

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	2026-05-18T02:33:25.679063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c90ddbceb7abbf990418a8f1cfe606010069fc90043619a9b8ee81ca44ba112

Aliases

arxiv: 1304.6376 · arxiv_version: 1304.6376v1 · doi: 10.48550/arxiv.1304.6376 · pith_short_12: RSIN3PHLPK57 · pith_short_16: RSIN3PHLPK57TECB · pith_short_8: RSIN3PHL

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/RSIN3PHLPK57TECBRKHRZ7TAMA \
  | 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: 8c90ddbceb7abbf990418a8f1cfe606010069fc90043619a9b8ee81ca44ba112

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7a141d7aa3c787544de932f85a4f2061c134f7084acee7142415ca76e766cfc",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-04-23T18:50:14Z",
    "title_canon_sha256": "b96ab4edb140a2717d496c0667997d4b85be1162cd8729c334148bdc878beac7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6376",
    "kind": "arxiv",
    "version": 1
  }
}