Pith Number

pith:EGSYQLM3

pith:2011:EGSYQLM3QKJDZW4XPFWYS5GHYK

not attested not anchored not stored refs pending

Local inversion of planar maps with nice nondifferentiability structure

Laura Poggiolini, Marco Spadini

arxiv:1110.1329 v1 · 2011-10-06 · math.CA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EGSYQLM3QKJDZW4XPFWYS5GHYK}

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	2026-05-18T04:11:32.288098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21a5882d9b82923cdb97796d8974c7c2ac6b219db6e85e9a15afc610ff4d851e

Aliases

arxiv: 1110.1329 · arxiv_version: 1110.1329v1 · doi: 10.48550/arxiv.1110.1329 · pith_short_12: EGSYQLM3QKJD · pith_short_16: EGSYQLM3QKJDZW4X · pith_short_8: EGSYQLM3

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/EGSYQLM3QKJDZW4XPFWYS5GHYK \
  | 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: 21a5882d9b82923cdb97796d8974c7c2ac6b219db6e85e9a15afc610ff4d851e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35f8e64382c865aa3875d1678ecb421819ac0103365b15c8f6211a8965c4209b",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-10-06T17:16:48Z",
    "title_canon_sha256": "dadcbc03e374f0fa223f9a60586f5b5488632af02ef33506383a22b78e5b46a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1329",
    "kind": "arxiv",
    "version": 1
  }
}