Pith Number

pith:QWO5L2WQ

pith:2013:QWO5L2WQZPTTBQY7WC2NBWK7IH

not attested not anchored not stored refs pending

Geometric properties of upper level sets of Lelong numbers on projective spaces

Dan Coman, Tuyen Trung Truong

arxiv:1305.0864 v1 · 2013-05-04 · math.CV · 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{QWO5L2WQZPTTBQY7WC2NBWK7IH}

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	2026-05-18T03:26:31.474984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

859dd5ead0cbe730c31fb0b4d0d95f41da05e3389d325743fd4bb43c34646d2b

Aliases

arxiv: 1305.0864 · arxiv_version: 1305.0864v1 · doi: 10.48550/arxiv.1305.0864 · pith_short_12: QWO5L2WQZPTT · pith_short_16: QWO5L2WQZPTTBQY7 · pith_short_8: QWO5L2WQ

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/QWO5L2WQZPTTBQY7WC2NBWK7IH \
  | 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: 859dd5ead0cbe730c31fb0b4d0d95f41da05e3389d325743fd4bb43c34646d2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe95ff15a2a1bec378698764e45aac7926c0ba78b7ade639c632d06ff930dd47",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-05-04T01:34:32Z",
    "title_canon_sha256": "a1efa8cbca6445bfcd9bdd21ca3d56c3a72fdc89ac7fb8b3cadd30b41f30f857"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0864",
    "kind": "arxiv",
    "version": 1
  }
}