Pith Number

pith:EYWCCGLK

pith:2011:EYWCCGLKQ3O46FXTC5J3N6VBAK

not attested not anchored not stored refs pending

Hitting hyperbolic half-space

Grzegorz Serafin, Jacek Malecki

arxiv:1111.0621 v1 · 2011-11-02 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EYWCCGLKQ3O46FXTC5J3N6VBAK}

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	2026-05-18T04:09:44.594650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

262c21196a86ddcf16f31753b6faa102bf45d34832c517bbbe17498f54f528be

Aliases

arxiv: 1111.0621 · arxiv_version: 1111.0621v1 · doi: 10.48550/arxiv.1111.0621 · pith_short_12: EYWCCGLKQ3O4 · pith_short_16: EYWCCGLKQ3O46FXT · pith_short_8: EYWCCGLK

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/EYWCCGLKQ3O46FXTC5J3N6VBAK \
  | 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: 262c21196a86ddcf16f31753b6faa102bf45d34832c517bbbe17498f54f528be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ddcd4620fc52e7d746183136ead6ec2c583500c206468019fe82c2ff3209784",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-02T19:41:42Z",
    "title_canon_sha256": "fd164c68c5ef5780ade8244696b39faed7acb7b1bf8f28362f80f28a236bb42b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0621",
    "kind": "arxiv",
    "version": 1
  }
}