Pith Number

pith:HSCBHJO3

pith:2015:HSCBHJO3WHPYNTMFDCMP7YHSZE

not attested not anchored not stored refs pending

A note on a global invertibility of mappings on $R^{n}$

Marek Galewski

arxiv:1503.01809 v1 · 2015-03-05 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HSCBHJO3WHPYNTMFDCMP7YHSZE}

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	2026-05-18T02:25:27.497819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c8413a5dbb1df86cd851898ffe0f2c91961bc0d6ba81d9340c5984c6b6ebc95

Aliases

arxiv: 1503.01809 · arxiv_version: 1503.01809v1 · doi: 10.48550/arxiv.1503.01809 · pith_short_12: HSCBHJO3WHPY · pith_short_16: HSCBHJO3WHPYNTMF · pith_short_8: HSCBHJO3

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/HSCBHJO3WHPYNTMFDCMP7YHSZE \
  | 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: 3c8413a5dbb1df86cd851898ffe0f2c91961bc0d6ba81d9340c5984c6b6ebc95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27b96690c64f64b45488ccd4d355ff0d0813e2e0d41436ad575c899de6b80786",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-03-05T22:46:12Z",
    "title_canon_sha256": "12074e845b3e91d206a2abf0cb74e36cc47b8764fb108dcc5ea9fdd32bf940ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01809",
    "kind": "arxiv",
    "version": 1
  }
}