Pith Number

pith:Z4P4J2XF

pith:2012:Z4P4J2XFVHJKVX7QMQBQ7CSWER

not attested not anchored not stored refs pending

Discriminant and Singularities of Logarithmic Gauss Map, Examples and Application

Bernd Martin, Dmitry Pochekutov

arxiv:1202.4659 v1 · 2012-02-21 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4P4J2XFVHJKVX7QMQBQ7CSWER}

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	2026-05-18T04:01:50.101478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf1fc4eae5a9d2aadff064030f8a56246778a353ab83bbfe4370e9117090f4be

Aliases

arxiv: 1202.4659 · arxiv_version: 1202.4659v1 · doi: 10.48550/arxiv.1202.4659 · pith_short_12: Z4P4J2XFVHJK · pith_short_16: Z4P4J2XFVHJKVX7Q · pith_short_8: Z4P4J2XF

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/Z4P4J2XFVHJKVX7QMQBQ7CSWER \
  | 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: cf1fc4eae5a9d2aadff064030f8a56246778a353ab83bbfe4370e9117090f4be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d2c694c1d8474d0172f3c8bd14e79cb6615f2507f21c17228a2db37a5db7e08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-02-21T14:51:51Z",
    "title_canon_sha256": "068c6bf1545e4b170ed7725d3ecc050083579297019a3097c662563aec65af67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4659",
    "kind": "arxiv",
    "version": 1
  }
}