Pith Number

pith:7E5SNAME

pith:2016:7E5SNAMEDPTFO7UU5ADBMT4DID

not attested not anchored not stored refs pending

Epimorphisms of 3-manifold groups

Michel Boileau, Stefan Friedl

arxiv:1602.06779 v2 · 2016-02-22 · 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{7E5SNAMEDPTFO7UU5ADBMT4DID}

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	2026-05-18T00:33:32.609703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f93b2681841be6577e94e806164f8340d34981843e7d904e59528128b1ec8b47

Aliases

arxiv: 1602.06779 · arxiv_version: 1602.06779v2 · doi: 10.48550/arxiv.1602.06779 · pith_short_12: 7E5SNAMEDPTF · pith_short_16: 7E5SNAMEDPTFO7UU · pith_short_8: 7E5SNAME

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/7E5SNAMEDPTFO7UU5ADBMT4DID \
  | 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: f93b2681841be6577e94e806164f8340d34981843e7d904e59528128b1ec8b47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b3218b2289e744e74c9e0453f66d60639579b68c18a6b30db270cd43adbe337",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-02-22T14:10:15Z",
    "title_canon_sha256": "381dee92796d7871e6647bb76b76e7345676e911c1444ff41b41468f78401c28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06779",
    "kind": "arxiv",
    "version": 2
  }
}