Pith Number

pith:FVZMP4DQ

pith:2017:FVZMP4DQPL7TH6PPN5LYAGQ2U2

not attested not anchored not stored refs pending

Piecewise-regular maps

Wojciech Kucharz

arxiv:1705.04525 v1 · 2017-05-12 · 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{FVZMP4DQPL7TH6PPN5LYAGQ2U2}

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	2026-05-18T00:44:37.872438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d72c7f0707aff33f9ef6f57801a1aa687cd6d19ae36cf6389fa6d870f457394

Aliases

arxiv: 1705.04525 · arxiv_version: 1705.04525v1 · doi: 10.48550/arxiv.1705.04525 · pith_short_12: FVZMP4DQPL7T · pith_short_16: FVZMP4DQPL7TH6PP · pith_short_8: FVZMP4DQ

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/FVZMP4DQPL7TH6PPN5LYAGQ2U2 \
  | 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: 2d72c7f0707aff33f9ef6f57801a1aa687cd6d19ae36cf6389fa6d870f457394

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cf6547d42a24e750612de13434a0bfb256e5415bc61c1724e58a7dec1fde58e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-05-12T11:57:11Z",
    "title_canon_sha256": "562af89f5d1193075b64b9af1f513a021a87124ab7fe3d9e5284e5ac84d4d5e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04525",
    "kind": "arxiv",
    "version": 1
  }
}