Pith Number

pith:V4FDMAIJ

pith:2013:V4FDMAIJXG4F72ZPM3YQZWCAX2

not attested not anchored not stored refs pending

Pr\"ufer sheaves and generic sheaves over the weighted projective lines and elliptic curves

Jianmin Chen, Jinjing Chen, Yanan Lin

arxiv:1305.6399 v3 · 2013-05-28 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V4FDMAIJXG4F72ZPM3YQZWCAX2}

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	2026-05-18T01:37:16.388676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af0a360109b9b85feb2f66f10cd840be9f29e6f64b74e302f8bba19c7480d984

Aliases

arxiv: 1305.6399 · arxiv_version: 1305.6399v3 · doi: 10.48550/arxiv.1305.6399 · pith_short_12: V4FDMAIJXG4F · pith_short_16: V4FDMAIJXG4F72ZP · pith_short_8: V4FDMAIJ

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/V4FDMAIJXG4F72ZPM3YQZWCAX2 \
  | 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: af0a360109b9b85feb2f66f10cd840be9f29e6f64b74e302f8bba19c7480d984

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77ab6178c4bb8b6de7393aba43639ddedd9b4771f938c9bf9cbfddc31016664b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-05-28T08:07:34Z",
    "title_canon_sha256": "7a4df11fa69af7c14430f3dfaa091909ed4624e4b06e843209cf1c42fab6703b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6399",
    "kind": "arxiv",
    "version": 3
  }
}