Pith Number

pith:7AZ5HTCU

pith:2016:7AZ5HTCUKIBUEZIUIDJS5NLNBC

not attested not anchored not stored refs pending

Negative curves on symmetric blowups of the projective plane, resurgences and Waldschmidt constants

Alexandra Seceleanu, Brian Harbourne, Jack Huizenga, Sandra Di Rocco, Thomas Bauer, Tomasz Szemberg

arxiv:1609.08648 v2 · 2016-09-27 · math.AG · math.AC · 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{7AZ5HTCUKIBUEZIUIDJS5NLNBC}

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	2026-05-18T00:33:07.027801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f833d3cc54520342651440d32eb56d08a174c356d69e8a793132d790e9d555bc

Aliases

arxiv: 1609.08648 · arxiv_version: 1609.08648v2 · doi: 10.48550/arxiv.1609.08648 · pith_short_12: 7AZ5HTCUKIBU · pith_short_16: 7AZ5HTCUKIBUEZIU · pith_short_8: 7AZ5HTCU

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/7AZ5HTCUKIBUEZIUIDJS5NLNBC \
  | 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: f833d3cc54520342651440d32eb56d08a174c356d69e8a793132d790e9d555bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d1df8990ee6cb887c2899b7649aaec1faf0ce1633e6a7e38bab5401d79039dc",
    "cross_cats_sorted": [
      "math.AC",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-09-27T20:19:41Z",
    "title_canon_sha256": "7765b7d40a2020f26d6b4ad6ebf5252f210558b436afcb2d98cecfebf9a289f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08648",
    "kind": "arxiv",
    "version": 2
  }
}