Pith Number

pith:S6ZPPPKP

pith:2018:S6ZPPPKPG6ZSEVSATNAG3DIBOL

not attested not anchored not stored refs pending

Quasi-isometry of pairs: surfaces in graph manifolds

Hoang Thanh Nguyen

arxiv:1808.02722 v1 · 2018-08-08 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S6ZPPPKPG6ZSEVSATNAG3DIBOL}

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	2026-05-18T00:08:32.384290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97b2f7bd4f37b32256409b406d8d0172c32ee0c8cb8927ce626d7c855482b7d2

Aliases

arxiv: 1808.02722 · arxiv_version: 1808.02722v1 · doi: 10.48550/arxiv.1808.02722 · pith_short_12: S6ZPPPKPG6ZS · pith_short_16: S6ZPPPKPG6ZSEVSA · pith_short_8: S6ZPPPKP

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/S6ZPPPKPG6ZSEVSATNAG3DIBOL \
  | 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: 97b2f7bd4f37b32256409b406d8d0172c32ee0c8cb8927ce626d7c855482b7d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01868bedf9834e698c1fa6744563e1b3c7f7edc7c317846d25db5dc524e93823",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-08-08T11:03:17Z",
    "title_canon_sha256": "07e7137964abc496f8958c5f84449c82368dbadfaee800bd648bdd93225bf615"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.02722",
    "kind": "arxiv",
    "version": 1
  }
}