Pith Number

pith:7VHFTK5A

pith:2012:7VHFTK5AE2NZC2BDXLFAOKKEMN

not attested not anchored not stored refs pending

On polynomial mappings from the plane to the plane

Iwona Krzy\.zanowska, Zbigniew Szafraniec

arxiv:1208.4713 v1 · 2012-08-23 · 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{7VHFTK5AE2NZC2BDXLFAOKKEMN}

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	2026-05-18T03:48:12.810667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd4e59aba0269b916823baca072944634901cb74d52e96e4ff4ac73c4abd2716

Aliases

arxiv: 1208.4713 · arxiv_version: 1208.4713v1 · doi: 10.48550/arxiv.1208.4713 · pith_short_12: 7VHFTK5AE2NZ · pith_short_16: 7VHFTK5AE2NZC2BD · pith_short_8: 7VHFTK5A

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/7VHFTK5AE2NZC2BDXLFAOKKEMN \
  | 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: fd4e59aba0269b916823baca072944634901cb74d52e96e4ff4ac73c4abd2716

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e27d6bd2f1f14553a07659a426917054cf3baf9f9ce4fed3f9702323553ce2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-08-23T10:37:50Z",
    "title_canon_sha256": "001d6c461b75968819a6780e735fbd0de19702b7bda3586c50dfc1090a881548"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4713",
    "kind": "arxiv",
    "version": 1
  }
}