Pith Number

pith:3JLY4AVW

pith:2019:3JLY4AVWR5OTACUKPLCWUNLY5G

not attested not anchored not stored refs pending

Symmetries of exotic negatively curved manifolds

Bena Tshishiku, Mauricio Bustamante

arxiv:1901.00815 v1 · 2019-01-03 · 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{3JLY4AVWR5OTACUKPLCWUNLY5G}

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	2026-05-17T23:57:01.155712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da578e02b68f5d300a8a7ac56a3578e9a556492b6500eca18c262b71ff49c97e

Aliases

arxiv: 1901.00815 · arxiv_version: 1901.00815v1 · doi: 10.48550/arxiv.1901.00815 · pith_short_12: 3JLY4AVWR5OT · pith_short_16: 3JLY4AVWR5OTACUK · pith_short_8: 3JLY4AVW

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/3JLY4AVWR5OTACUKPLCWUNLY5G \
  | 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: da578e02b68f5d300a8a7ac56a3578e9a556492b6500eca18c262b71ff49c97e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d4a63911ff701d18f2cf9c01405fcd2cdc230f02c2d330a77b1b3a7979364fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-01-03T16:55:18Z",
    "title_canon_sha256": "49b8cf5db32947ef1c76c2f7946561d8337a3be263c51b018bcc8791f5c93485"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.00815",
    "kind": "arxiv",
    "version": 1
  }
}