Pith Number

pith:CAXRLAUK

pith:2012:CAXRLAUKYTYLO2B4V74S7ORSA5

not attested not anchored not stored refs pending

On Newton non-degeneracy of polynomial mappings

L. R. G. Dias, M. Tibar, Y. Chen

arxiv:1207.1612 v2 · 2012-07-06 · 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{CAXRLAUKYTYLO2B4V74S7ORSA5}

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	2026-05-18T02:57:00.180060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

102f15828ac4f0b7683caff92fba32074abe71a0dfce8a6982a9ce6087e949da

Aliases

arxiv: 1207.1612 · arxiv_version: 1207.1612v2 · doi: 10.48550/arxiv.1207.1612 · pith_short_12: CAXRLAUKYTYL · pith_short_16: CAXRLAUKYTYLO2B4 · pith_short_8: CAXRLAUK

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/CAXRLAUKYTYLO2B4V74S7ORSA5 \
  | 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: 102f15828ac4f0b7683caff92fba32074abe71a0dfce8a6982a9ce6087e949da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a17df87e772430fa3d5259dbf58a16eceb65a851cdd7b6181ffddb501e88ca1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-07-06T12:43:42Z",
    "title_canon_sha256": "bb7e7e3bf4f26d99992b50be1ee0a0a2e8aa227d4c98b8e8ae576db4ddf009a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1612",
    "kind": "arxiv",
    "version": 2
  }
}