Pith Number

pith:3PUSYSOT

pith:2017:3PUSYSOT5Z76S6J5CT6FZVNITY

not attested not anchored not stored refs pending

Vanishing on toric surfaces

Fei Xie, Yuan Wang

arxiv:1707.02645 v1 · 2017-07-09 · 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{3PUSYSOT5Z76S6J5CT6FZVNITY}

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	2026-05-18T00:40:36.263204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbe92c49d3ee7fe9793d14fc5cd5a89e0a0f201849245ecb4e6b5392750dab4f

Aliases

arxiv: 1707.02645 · arxiv_version: 1707.02645v1 · doi: 10.48550/arxiv.1707.02645 · pith_short_12: 3PUSYSOT5Z76 · pith_short_16: 3PUSYSOT5Z76S6J5 · pith_short_8: 3PUSYSOT

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/3PUSYSOT5Z76S6J5CT6FZVNITY \
  | 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: dbe92c49d3ee7fe9793d14fc5cd5a89e0a0f201849245ecb4e6b5392750dab4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cc0e6166c9f3854a6b45cde9a0e2b19c87ccd28518efb163e2d54fe72125d79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-07-09T21:51:45Z",
    "title_canon_sha256": "022d4035371337188658167ce785c72b3352e9da88ceb55feb976615fb0bee55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.02645",
    "kind": "arxiv",
    "version": 1
  }
}