Pith Number

pith:QAM2FOYW

pith:2018:QAM2FOYWDQ2M33CUNE5SIJSWMI

not attested not anchored not stored refs pending

Approximation of maps into spheres by piecewise-regular maps of class C^k

Marcin Bilski

arxiv:1808.07087 v3 · 2018-08-21 · 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{QAM2FOYWDQ2M33CUNE5SIJSWMI}

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	2026-05-17T23:58:19.058125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8019a2bb161c34cdec54693b242656623a499612866ff4fb7a630b7362ec6d29

Aliases

arxiv: 1808.07087 · arxiv_version: 1808.07087v3 · doi: 10.48550/arxiv.1808.07087 · pith_short_12: QAM2FOYWDQ2M · pith_short_16: QAM2FOYWDQ2M33CU · pith_short_8: QAM2FOYW

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/QAM2FOYWDQ2M33CUNE5SIJSWMI \
  | 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: 8019a2bb161c34cdec54693b242656623a499612866ff4fb7a630b7362ec6d29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "261ffb825e4797f39a870a09e4f8b37cab2b4e159a0817a4c6cfce11a7eb92f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-08-21T19:11:30Z",
    "title_canon_sha256": "bbefa4591ea3050ff39265875c22adea424193d1a5e22a8b0964aaf0c6131c18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07087",
    "kind": "arxiv",
    "version": 3
  }
}