Pith Number

pith:FXEPLWS3

pith:2016:FXEPLWS3N4J7YD5FX37FEWGJL4

not attested not anchored not stored refs pending

A new characterization of the invertibility of polynomial maps

Elzbieta Adamus, Pawel Bogdan, Teresa Crespo, Zbigniew Hajto

arxiv:1601.00332 v1 · 2016-01-03 · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FXEPLWS3N4J7YD5FX37FEWGJL4}

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	2026-05-18T01:23:27.766189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dc8f5da5b6f13fc0fa5befe5258c95f384dfe20c9c7a53aee5331ecf6dfc081

Aliases

arxiv: 1601.00332 · arxiv_version: 1601.00332v1 · doi: 10.48550/arxiv.1601.00332 · pith_short_12: FXEPLWS3N4J7 · pith_short_16: FXEPLWS3N4J7YD5F · pith_short_8: FXEPLWS3

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/FXEPLWS3N4J7YD5FX37FEWGJL4 \
  | 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: 2dc8f5da5b6f13fc0fa5befe5258c95f384dfe20c9c7a53aee5331ecf6dfc081

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81a99652d73ed15c297657b4af1799cad9328112abfe5665cc394a347b0f3788",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-01-03T19:45:37Z",
    "title_canon_sha256": "01ea9ae19f6311f2997c0d1f8663ad73096e8d0b603cf08b7d505a158efc3895"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00332",
    "kind": "arxiv",
    "version": 1
  }
}