Pith Number

pith:JSSEF5XX

pith:2012:JSSEF5XXFO3P55KTZWX35GFKB4

not attested not anchored not stored refs pending

Algebraization of a Cartier divisor

Dmitry Trushin

arxiv:1210.4176 v1 · 2012-10-15 · 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{JSSEF5XXFO3P55KTZWX35GFKB4}

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	2026-05-18T03:43:06.719792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ca442f6f72bb6fef553cdafbe98aa0f0ba788b5beb7fec24e5f489327892718

Aliases

arxiv: 1210.4176 · arxiv_version: 1210.4176v1 · doi: 10.48550/arxiv.1210.4176 · pith_short_12: JSSEF5XXFO3P · pith_short_16: JSSEF5XXFO3P55KT · pith_short_8: JSSEF5XX

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/JSSEF5XXFO3P55KTZWX35GFKB4 \
  | 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: 4ca442f6f72bb6fef553cdafbe98aa0f0ba788b5beb7fec24e5f489327892718

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd33166547f99299bf6f5c3becdf7806e6f2b0fea9d8b871396693c6ca6fc560",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-10-15T20:01:34Z",
    "title_canon_sha256": "9f5782f81a534059ef5ec2d82b5c741fa8b3a4372bac4482a9043ef9f27293a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4176",
    "kind": "arxiv",
    "version": 1
  }
}