Pith Number

pith:GGN2TPOD

pith:2012:GGN2TPODJ64Z7E3TKOBMHAE52L

not attested not anchored not stored refs pending

On Moebius and conformal maps between boundaries of CAT(-1) spaces

Kingshook Biswas

arxiv:1203.6212 v3 · 2012-03-28 · math.DS · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GGN2TPODJ64Z7E3TKOBMHAE52L}

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	2026-05-18T03:04:59.760290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

319ba9bdc34fb99f93735382c3809dd2df9fb022234f6e3bb08d8ef788e2c7be

Aliases

arxiv: 1203.6212 · arxiv_version: 1203.6212v3 · doi: 10.48550/arxiv.1203.6212 · pith_short_12: GGN2TPODJ64Z · pith_short_16: GGN2TPODJ64Z7E3T · pith_short_8: GGN2TPOD

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/GGN2TPODJ64Z7E3TKOBMHAE52L \
  | 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: 319ba9bdc34fb99f93735382c3809dd2df9fb022234f6e3bb08d8ef788e2c7be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "891c9a3f2d2ef54005fc0ccd4d1a4a78c6a23a749b6811d20d6edbe45c4afeee",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-03-28T10:05:53Z",
    "title_canon_sha256": "c8ce6ef59e2bc1337d19b0dd0e240b9641a9d86f3f739bc08d15d932631c17c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6212",
    "kind": "arxiv",
    "version": 3
  }
}