Pith Number

pith:4XRIREB7

pith:2014:4XRIREB7PNKFBMXILXGN5C3PKB

not attested not anchored not stored refs pending

On vanishing theorems for local systems associated to Laurent polynomials

Alexander Esterov, Kiyoshi Takeuchi

arxiv:1403.0103 v3 · 2014-03-01 · 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{4XRIREB7PNKFBMXILXGN5C3PKB}

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	2026-05-18T00:01:53.850905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5e288903f7b5450b2e85dccde8b6f5047288c312bc5c19aa20ad04c48784b0b

Aliases

arxiv: 1403.0103 · arxiv_version: 1403.0103v3 · doi: 10.48550/arxiv.1403.0103 · pith_short_12: 4XRIREB7PNKF · pith_short_16: 4XRIREB7PNKFBMXI · pith_short_8: 4XRIREB7

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/4XRIREB7PNKFBMXILXGN5C3PKB \
  | 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: e5e288903f7b5450b2e85dccde8b6f5047288c312bc5c19aa20ad04c48784b0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d384862e5d0368ef74b3ad236a6810b32730436edfc40bc973004c9fe36251fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-03-01T16:18:05Z",
    "title_canon_sha256": "f254369321f504e849736ee8b5d8f02b1ebc1cb13e335e3f24613180480678bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0103",
    "kind": "arxiv",
    "version": 3
  }
}