Pith Number

pith:S2KFVNPZ

pith:2018:S2KFVNPZ65RKLFX3GKNRO2HK6F

not attested not anchored not stored refs pending

Discriminants of stable rank two sheaves on some general type surfaces

Benjamin Schmidt, Benjamin Sung

arxiv:1812.02735 v3 · 2018-12-05 · 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{S2KFVNPZ65RKLFX3GKNRO2HK6F}

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	2026-05-17T23:41:12.498751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96945ab5f9f762a596fb329b1768eaf142f7481bc8d390d78d50fa2c914b3bba

Aliases

arxiv: 1812.02735 · arxiv_version: 1812.02735v3 · doi: 10.48550/arxiv.1812.02735 · pith_short_12: S2KFVNPZ65RK · pith_short_16: S2KFVNPZ65RKLFX3 · pith_short_8: S2KFVNPZ

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/S2KFVNPZ65RKLFX3GKNRO2HK6F \
  | 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: 96945ab5f9f762a596fb329b1768eaf142f7481bc8d390d78d50fa2c914b3bba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65b5a23317e83bc89841d597a99ea735b520068b8bd68828b75faf31de2cd544",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-12-05T21:36:58Z",
    "title_canon_sha256": "07ab32ec3ddc581b0a60eccb06ef73cdd56244ca6f035d655ef6dafc278fdd39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.02735",
    "kind": "arxiv",
    "version": 3
  }
}