Pith Number

pith:TPVEAZNV

pith:2017:TPVEAZNV3A47FUCZK3GCSYH5TZ

not attested not anchored not stored refs pending

Hyperbolic ends with particles and grafting on singular surfaces

Jean-Marc Schlenker, Qiyu Chen

arxiv:1704.07167 v1 · 2017-04-24 · math.DG · math-ph · math.GT · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TPVEAZNV3A47FUCZK3GCSYH5TZ}

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	2026-05-18T00:45:53.353092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bea4065b5d839f2d05956cc2960fd9e75449f41939a271e656e85e3936dba45

Aliases

arxiv: 1704.07167 · arxiv_version: 1704.07167v1 · doi: 10.48550/arxiv.1704.07167 · pith_short_12: TPVEAZNV3A47 · pith_short_16: TPVEAZNV3A47FUCZ · pith_short_8: TPVEAZNV

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/TPVEAZNV3A47FUCZK3GCSYH5TZ \
  | 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: 9bea4065b5d839f2d05956cc2960fd9e75449f41939a271e656e85e3936dba45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2639a07723552543a93b3b4417cf4aca9c75aee986bedbf26e89f3432ca106e7",
    "cross_cats_sorted": [
      "math-ph",
      "math.GT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-04-24T12:09:02Z",
    "title_canon_sha256": "cd57d6c3c3de8cba646b5aa3de4a2463683fcebff744d567a3f965c5a8c47cd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.07167",
    "kind": "arxiv",
    "version": 1
  }
}