Pith Number

pith:LJU57EAS

pith:2018:LJU57EASSA6YTXN6CTJTY4GE7E

not attested not anchored not stored refs pending

Deficient and multiple points of maps into a manifold

Daciberg L. Gon\c{c}alves, Stanis{\l}aw Spie\.z, Tha\'is F. M. Monis

arxiv:1810.09960 v1 · 2018-10-23 · math.AT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LJU57EASSA6YTXN6CTJTY4GE7E}

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	2026-05-18T00:02:28.785131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a69df9012903d89ddbe14d33c70c4f910c105844b9625bf4b15ce70f1f1c6b8

Aliases

arxiv: 1810.09960 · arxiv_version: 1810.09960v1 · doi: 10.48550/arxiv.1810.09960 · pith_short_12: LJU57EASSA6Y · pith_short_16: LJU57EASSA6YTXN6 · pith_short_8: LJU57EAS

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/LJU57EASSA6YTXN6CTJTY4GE7E \
  | 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: 5a69df9012903d89ddbe14d33c70c4f910c105844b9625bf4b15ce70f1f1c6b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41a6c3d5581986515321a29a1dd7609cf44788eabb5673f91db8f1fee9e2feee",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-10-23T16:43:16Z",
    "title_canon_sha256": "5f3370c9cafcd198c72cae37aced9a13c9a6d3ddf6decb43d9ffc391ee08883a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.09960",
    "kind": "arxiv",
    "version": 1
  }
}