Pith Number

pith:FPEPTYC7

pith:2012:FPEPTYC7SXCVQWZOSBMFKP4DPY

not attested not anchored not stored refs pending

Hyperbolization of cocycles by isometries of the euclidean space

Mario Ponce

arxiv:1210.1279 v1 · 2012-10-04 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FPEPTYC7SXCVQWZOSBMFKP4DPY}

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	2026-05-17T23:53:18.409892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bc8f9e05f95c5585b2e9058553f837e33da3fd2e0ccbc69725d7432528e8dbb

Aliases

arxiv: 1210.1279 · arxiv_version: 1210.1279v1 · doi: 10.48550/arxiv.1210.1279 · pith_short_12: FPEPTYC7SXCV · pith_short_16: FPEPTYC7SXCVQWZO · pith_short_8: FPEPTYC7

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/FPEPTYC7SXCVQWZOSBMFKP4DPY \
  | 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: 2bc8f9e05f95c5585b2e9058553f837e33da3fd2e0ccbc69725d7432528e8dbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cea0df5ee382359e478b8e6b09b70588d9fd52587e5e7a6137ac8a0f83824508",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-10-04T02:43:18Z",
    "title_canon_sha256": "4280728c47fc04d23e75b3a943906ea8fc133e78ff0a7a4c0ed8305db19261cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1279",
    "kind": "arxiv",
    "version": 1
  }
}