Pith Number

pith:Q4CKUC3C

pith:2017:Q4CKUC3C2SKK6LHR3SQWSGEYGF

not attested not anchored not stored refs pending

Quasiconvexity and Dehn filling

Daniel Groves, Jason Fox Manning

arxiv:1708.07968 v3 · 2017-08-26 · 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{Q4CKUC3C2SKK6LHR3SQWSGEYGF}

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	2026-05-17T23:46:55.680817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8704aa0b62d494af2cf1dca1691898316d3ee8cfed8b8401579727a5217913c7

Aliases

arxiv: 1708.07968 · arxiv_version: 1708.07968v3 · doi: 10.48550/arxiv.1708.07968 · pith_short_12: Q4CKUC3C2SKK · pith_short_16: Q4CKUC3C2SKK6LHR · pith_short_8: Q4CKUC3C

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/Q4CKUC3C2SKK6LHR3SQWSGEYGF \
  | 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: 8704aa0b62d494af2cf1dca1691898316d3ee8cfed8b8401579727a5217913c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b868c724f131f51a166fdefc501a24b728fc6c0c9b18b2a25480f87606189c2f",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-08-26T13:42:30Z",
    "title_canon_sha256": "3129dec4e6e90b43e00a5da89f3d0e5ec98d56a76c5f374cd22a1c01fa0f5621"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.07968",
    "kind": "arxiv",
    "version": 3
  }
}