Pith Number

pith:LJLWI3FU

pith:2015:LJLWI3FU76RE3HUZ3MWHNDWR3J

not attested not anchored not stored refs pending

Orbifold E-functions of dual invertible polynomials

Atsushi Takahashi, Sabir M. Gusein-Zade, Wolfgang Ebeling

arxiv:1509.04101 v1 · 2015-09-14 · 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{LJLWI3FU76RE3HUZ3MWHNDWR3J}

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	2026-05-18T01:15:44.614066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a57646cb4ffa24d9e99db2c768ed1da63f72cda64d2d810f7e3ae54625f3914

Aliases

arxiv: 1509.04101 · arxiv_version: 1509.04101v1 · doi: 10.48550/arxiv.1509.04101 · pith_short_12: LJLWI3FU76RE · pith_short_16: LJLWI3FU76RE3HUZ · pith_short_8: LJLWI3FU

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/LJLWI3FU76RE3HUZ3MWHNDWR3J \
  | 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: 5a57646cb4ffa24d9e99db2c768ed1da63f72cda64d2d810f7e3ae54625f3914

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "707817233d1f04f71d267563c252fdb58ca4b05f6b055e5bc6f6987b058bdc79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-14T14:01:08Z",
    "title_canon_sha256": "f67f298202a86c74cbe058bdd12cb82fb167f40b41344307303cf226414825ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04101",
    "kind": "arxiv",
    "version": 1
  }
}