Pith Number

pith:OQ5UBAEV

pith:2017:OQ5UBAEVS4O7KC4BMQSC7VOKZW

not attested not anchored not stored refs pending

Distortion of surfaces in graph manifolds

G. Christopher Hruska, Hoang Thanh Nguyen

arxiv:1703.07458 v2 · 2017-03-21 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OQ5UBAEVS4O7KC4BMQSC7VOKZW}

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	2026-05-17T23:54:11.848836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

743b408095971df50b8164242fd5cacd8529e8971aed17be9e7f75427b3120ae

Aliases

arxiv: 1703.07458 · arxiv_version: 1703.07458v2 · doi: 10.48550/arxiv.1703.07458 · pith_short_12: OQ5UBAEVS4O7 · pith_short_16: OQ5UBAEVS4O7KC4B · pith_short_8: OQ5UBAEV

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/OQ5UBAEVS4O7KC4BMQSC7VOKZW \
  | 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: 743b408095971df50b8164242fd5cacd8529e8971aed17be9e7f75427b3120ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46cc20e79d51c3ac0f3537e2561593aa09e128ee7d5fecbf868fd4a7b3168512",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-03-21T22:32:16Z",
    "title_canon_sha256": "6730ec0220d8cc6759266ac04432f1ad0ca0949c84b65ce02185bc8eab772faf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07458",
    "kind": "arxiv",
    "version": 2
  }
}