Pith Number

pith:ZRF43FTW

pith:2015:ZRF43FTWUGODDQCLRDEKYVX4SM

not attested not anchored not stored refs pending

Structure and Stability of the 1-Dimensional Mapper

Mathieu Carri\`ere, Steve Oudot

arxiv:1511.05823 v4 · 2015-11-18 · math.AT · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZRF43FTWUGODDQCLRDEKYVX4SM}

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	2026-05-18T00:31:00.549411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc4bcd9676a19c31c04b88c8ac56fc93046802b2f5b217f2555d828096867303

Aliases

arxiv: 1511.05823 · arxiv_version: 1511.05823v4 · doi: 10.48550/arxiv.1511.05823 · pith_short_12: ZRF43FTWUGOD · pith_short_16: ZRF43FTWUGODDQCL · pith_short_8: ZRF43FTW

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/ZRF43FTWUGODDQCLRDEKYVX4SM \
  | 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: cc4bcd9676a19c31c04b88c8ac56fc93046802b2f5b217f2555d828096867303

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1fcced2382e3c6203222b060a4d1aa11de16364fb1ce7cdfcc7bcb23192e610",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-11-18T15:12:05Z",
    "title_canon_sha256": "91b5921e778f45368d62629d4f965631d96bd832517c7f7b132c026972b407b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05823",
    "kind": "arxiv",
    "version": 4
  }
}