Pith Number

pith:TGORZF3P

pith:2013:TGORZF3P2KEXLCELHZGQXJHVEO

not attested not anchored not stored refs pending

The MMP for deformations of Hilbert schemes of points on the projective plane

Chunyi Li, Xiaolei Zhao

arxiv:1312.1748 v1 · 2013-12-06 · 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{TGORZF3P2KEXLCELHZGQXJHVEO}

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	2026-05-18T03:05:19.852808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

999d1c976fd28975888b3e4d0ba4f52386e73af74f8bb5b9b298391cc4985e8a

Aliases

arxiv: 1312.1748 · arxiv_version: 1312.1748v1 · doi: 10.48550/arxiv.1312.1748 · pith_short_12: TGORZF3P2KEX · pith_short_16: TGORZF3P2KEXLCEL · pith_short_8: TGORZF3P

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/TGORZF3P2KEXLCELHZGQXJHVEO \
  | 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: 999d1c976fd28975888b3e4d0ba4f52386e73af74f8bb5b9b298391cc4985e8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b46869dfcb3ef0254ec3c92642004b74b47c8b5b3a041476d272598e2002c965",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-12-06T01:22:02Z",
    "title_canon_sha256": "12e835a68b15540b8f44fec9d21a4a683805c7e4aec1a890a21e176a661c25ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1748",
    "kind": "arxiv",
    "version": 1
  }
}