Pith Number

pith:DUPCGD7C

pith:2015:DUPCGD7CIS4UYAHHWIKYBSSTIL

not attested not anchored not stored refs pending

Porosity of the branch set of discrete open mappings with controlled linear dilatation

Chang-Yu Guo, Marshall Williams

arxiv:1509.02638 v2 · 2015-09-09 · math.MG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DUPCGD7CIS4UYAHHWIKYBSSTIL}

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	2026-05-18T00:51:22.662546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d1e230fe244b94c00e7b21580ca5342ef106ee511cad7ef6b7934c890afd476

Aliases

arxiv: 1509.02638 · arxiv_version: 1509.02638v2 · doi: 10.48550/arxiv.1509.02638 · pith_short_12: DUPCGD7CIS4U · pith_short_16: DUPCGD7CIS4UYAHH · pith_short_8: DUPCGD7C

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/DUPCGD7CIS4UYAHHWIKYBSSTIL \
  | 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: 1d1e230fe244b94c00e7b21580ca5342ef106ee511cad7ef6b7934c890afd476

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65dc79f34573beb855bef4f61ed860660fa65a95e97ef5fdb0fa0c136383a9a7",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-09-09T05:31:41Z",
    "title_canon_sha256": "73e2601e78f93db8aeed5d49d374a58c31d3bc815565dc81ce5d1378ed8eb2be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02638",
    "kind": "arxiv",
    "version": 2
  }
}