Pith Number

pith:Y4OSFTZZ

pith:2017:Y4OSFTZZKWG4DKY6PUND7QRRX6

not attested not anchored not stored refs pending

Morse functions to graphs and topological complexity for hyperbolic 3-manifolds

Diane Hoffoss, Joseph Maher

arxiv:1708.04140 v1 · 2017-08-11 · 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{Y4OSFTZZKWG4DKY6PUND7QRRX6}

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	2026-05-18T00:38:06.947737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c71d22cf39558dc1ab1e7d1a3fc231bf92fecab384dc638e1ef0560677210f42

Aliases

arxiv: 1708.04140 · arxiv_version: 1708.04140v1 · doi: 10.48550/arxiv.1708.04140 · pith_short_12: Y4OSFTZZKWG4 · pith_short_16: Y4OSFTZZKWG4DKY6 · pith_short_8: Y4OSFTZZ

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/Y4OSFTZZKWG4DKY6PUND7QRRX6 \
  | 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: c71d22cf39558dc1ab1e7d1a3fc231bf92fecab384dc638e1ef0560677210f42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1c83042ce0f19b3d6eb0f645d74b1464fe222e88d02ddfe13eed909b2e649a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-08-11T01:23:14Z",
    "title_canon_sha256": "4bf3dd670a644b74f875a26f4abbc25c91b56c5ea736500cdef05490f15ba29a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04140",
    "kind": "arxiv",
    "version": 1
  }
}