Pith Number

pith:Z3KAD26V

pith:2016:Z3KAD26VAQQ53HXKDQJJQXEMC4

not attested not anchored not stored refs pending

Asymptotic syzygies grow exponentially: a remark on a paper of Ein-Lazarsfeld

Daniel Chun, Ziv Ran

arxiv:1612.00898 v1 · 2016-12-03 · 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{Z3KAD26VAQQ53HXKDQJJQXEMC4}

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	2026-05-18T00:55:53.877138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ced401ebd50421dd9eea1c12985c8c171bf4714249aa281b0ba7ecf99a1175a9

Aliases

arxiv: 1612.00898 · arxiv_version: 1612.00898v1 · doi: 10.48550/arxiv.1612.00898 · pith_short_12: Z3KAD26VAQQ5 · pith_short_16: Z3KAD26VAQQ53HXK · pith_short_8: Z3KAD26V

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/Z3KAD26VAQQ53HXKDQJJQXEMC4 \
  | 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: ced401ebd50421dd9eea1c12985c8c171bf4714249aa281b0ba7ecf99a1175a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c3e38146828ab6964893ad9bfb500c5d0d6234183a77f5f010badb5a8c76c3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-12-03T00:04:01Z",
    "title_canon_sha256": "30e4f64a1ffd09ff6817388e566acdc3904a541fd9468cfc4c2ae7edabbc06f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00898",
    "kind": "arxiv",
    "version": 1
  }
}