Pith Number

pith:QMBCJXZK

pith:2017:QMBCJXZKJW4RJAZ3R2NDNVG5UN

not attested not anchored not stored refs pending

Fat flats in rank one manifolds

D. B. McReynolds, D. Constantine, D. J. Thompson, J.-F. Lafont

arxiv:1704.00857 v3 · 2017-04-04 · math.DS · math.DG · 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{QMBCJXZKJW4RJAZ3R2NDNVG5UN}

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	2026-07-05T09:41:24.649236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

830224df2a4db914833b8e9a36d4dda378f22f89a7531915c20a2259c431a822

Aliases

arxiv: 1704.00857 · arxiv_version: 1704.00857v3 · doi: 10.48550/arxiv.1704.00857 · pith_short_12: QMBCJXZKJW4R · pith_short_16: QMBCJXZKJW4RJAZ3 · pith_short_8: QMBCJXZK

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/QMBCJXZKJW4RJAZ3R2NDNVG5UN \
  | 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: 830224df2a4db914833b8e9a36d4dda378f22f89a7531915c20a2259c431a822

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fd59166b4f1543302b6157e15c2d99c75d3b070d3bbad99c0a76ca26e1f7022",
    "cross_cats_sorted": [
      "math.DG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-04-04T02:49:52Z",
    "title_canon_sha256": "76c3a236e4f9994adf6d7e96004d884db0aab9487889a98465dfe22dca0f7bd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.00857",
    "kind": "arxiv",
    "version": 3
  }
}