Pith Number

pith:W4SEUCLQ

pith:2017:W4SEUCLQTBXWU6NAQQ7PQ3IDVX

not attested not anchored not stored refs pending

Circumcenter extension of Moebius maps to CAT(-1) spaces

Kingshook Biswas

arxiv:1709.09110 v2 · 2017-09-26 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W4SEUCLQTBXWU6NAQQ7PQ3IDVX}

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	2026-05-18T00:33:06.224606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7244a0970986f6a79a0843ef86d03adcee39240b2678d3392792b98d50207f9

Aliases

arxiv: 1709.09110 · arxiv_version: 1709.09110v2 · doi: 10.48550/arxiv.1709.09110 · pith_short_12: W4SEUCLQTBXW · pith_short_16: W4SEUCLQTBXWU6NA · pith_short_8: W4SEUCLQ

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/W4SEUCLQTBXWU6NAQQ7PQ3IDVX \
  | 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: b7244a0970986f6a79a0843ef86d03adcee39240b2678d3392792b98d50207f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd490524bd6d8d9dfa24d6567f1b08e81c64a5b8ba4c54a597edcebd0f880d11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-09-26T16:16:15Z",
    "title_canon_sha256": "6008e4c820b289118d5e2fc742cef867fda613793cf6832910005cc91fedbb24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09110",
    "kind": "arxiv",
    "version": 2
  }
}