Pith Number

pith:OEEPAG6S

pith:2015:OEEPAG6SNNS6TWFP5EVV6TUM6K

not attested not anchored not stored refs pending

Regular Maps on Cartesian Products and Disjoint Unions of Manifolds

Shiquan Ren

arxiv:1511.01601 v7 · 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{OEEPAG6SNNS6TWFP5EVV6TUM6K}

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	2026-05-18T00:44:09.937049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7108f01bd26b65e9d8afe92b5f4e8cf28803a6f2f5366d71dc14f41325c5c45c

Aliases

arxiv: 1511.01601 · arxiv_version: 1511.01601v7 · doi: 10.48550/arxiv.1511.01601 · pith_short_12: OEEPAG6SNNS6 · pith_short_16: OEEPAG6SNNS6TWFP · pith_short_8: OEEPAG6S

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/OEEPAG6SNNS6TWFP5EVV6TUM6K \
  | 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: 7108f01bd26b65e9d8afe92b5f4e8cf28803a6f2f5366d71dc14f41325c5c45c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a519530489e582098261df042992d1bc3736a985b3812919f9c5a05d524dc17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-11-05T03:56:57Z",
    "title_canon_sha256": "ca0b3b06e768943147d71f7414d6fd71881a394eb6852cfc7b67de3b3a756c2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01601",
    "kind": "arxiv",
    "version": 7
  }
}