Pith Number

pith:DLVL4ER4

pith:2012:DLVL4ER4CC6QFH3WCJVJYQLP36

not attested not anchored not stored refs pending

Mutations of Laurent Polynomials and Flat Families with Toric Fibers

Nathan Owen Ilten

arxiv:1205.4664 v3 · 2012-05-21 · 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{DLVL4ER4CC6QFH3WCJVJYQLP36}

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	2026-05-18T03:49:57.892659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1aeabe123c10bd029f76126a9c416fdf881089450ebd6136b8497ac0e1155f74

Aliases

arxiv: 1205.4664 · arxiv_version: 1205.4664v3 · doi: 10.48550/arxiv.1205.4664 · pith_short_12: DLVL4ER4CC6Q · pith_short_16: DLVL4ER4CC6QFH3W · pith_short_8: DLVL4ER4

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/DLVL4ER4CC6QFH3WCJVJYQLP36 \
  | 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: 1aeabe123c10bd029f76126a9c416fdf881089450ebd6136b8497ac0e1155f74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4a0c3573b888d4055d9c14ad8727b8bfca894b6111b03e6e902e114a1f553fa",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-05-21T18:05:41Z",
    "title_canon_sha256": "5bac8798db1194dc0ba13f1bc7c9ea3923c6e837758c7cfe238d453c2fc0a4e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4664",
    "kind": "arxiv",
    "version": 3
  }
}