Pith Number

pith:MCCDN72X

pith:2018:MCCDN72XLTWFGHMVEHM3FKYE5C

not attested not anchored not stored refs pending

Distortion of surfaces in 3-manifolds

Hoang Thanh Nguyen

arxiv:1805.01094 v3 · 2018-05-03 · 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{MCCDN72XLTWFGHMVEHM3FKYE5C}

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	2026-05-17T23:41:46.630048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

608436ff575cec531d9521d9b2ab04e891ec5d7caf7afb2c81741675a460d429

Aliases

arxiv: 1805.01094 · arxiv_version: 1805.01094v3 · doi: 10.48550/arxiv.1805.01094 · pith_short_12: MCCDN72XLTWF · pith_short_16: MCCDN72XLTWFGHMV · pith_short_8: MCCDN72X

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/MCCDN72XLTWFGHMVEHM3FKYE5C \
  | 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: 608436ff575cec531d9521d9b2ab04e891ec5d7caf7afb2c81741675a460d429

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c8c1f8fae7211fb1e7ba140352ef3681a1e75925282add19a3b5e169cf63fd0",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-05-03T03:15:22Z",
    "title_canon_sha256": "554480e5875c800ff8dd735f4eca4096c95dcb5da39b8a96484616e6179d5a37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.01094",
    "kind": "arxiv",
    "version": 3
  }
}