Pith Number

pith:NI5ZTSDX

pith:2015:NI5ZTSDXMBHJYL3SVAZSX7JKEJ

not attested not anchored not stored refs pending

Regular Maps on Euclidean Spaces and Tori

Shiquan Ren

arxiv:1511.01596 v4 · 2015-11-05 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NI5ZTSDXMBHJYL3SVAZSX7JKEJ}

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	2026-05-18T01:03:20.173544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a3b99c877604e9c2f72a8332bfd2a22529a64419a63a462f64ad9ce97184923

Aliases

arxiv: 1511.01596 · arxiv_version: 1511.01596v4 · doi: 10.48550/arxiv.1511.01596 · pith_short_12: NI5ZTSDXMBHJ · pith_short_16: NI5ZTSDXMBHJYL3S · pith_short_8: NI5ZTSDX

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/NI5ZTSDXMBHJYL3SVAZSX7JKEJ \
  | 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: 6a3b99c877604e9c2f72a8332bfd2a22529a64419a63a462f64ad9ce97184923

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63c699fba76ea58d210b64d89160dfeec49004d0187270f084ec85cb503f8217",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-11-05T03:33:40Z",
    "title_canon_sha256": "fbe6c193676617ce867dfaafb3a2724dd1a511f34f7229e3daa234347186c64e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01596",
    "kind": "arxiv",
    "version": 4
  }
}