Pith Number

pith:R4BZLVOG

pith:2011:R4BZLVOGX3SIRKXSLUYZ7TOZ2Z

not attested not anchored not stored refs pending

On fixing boundary points of transitive hyperbolic graphs

Agelos Georgakopoulos, Matthias Hamann

arxiv:1106.5969 v1 · 2011-06-29 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R4BZLVOGX3SIRKXSLUYZ7TOZ2Z}

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	2026-05-18T04:19:04.761535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f0395d5c6bee488aaf25d319fcdd9d6627e011293ef74b8e6b32d2b1c894853

Aliases

arxiv: 1106.5969 · arxiv_version: 1106.5969v1 · doi: 10.48550/arxiv.1106.5969 · pith_short_12: R4BZLVOGX3SI · pith_short_16: R4BZLVOGX3SIRKXS · pith_short_8: R4BZLVOG

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/R4BZLVOGX3SIRKXSLUYZ7TOZ2Z \
  | 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: 8f0395d5c6bee488aaf25d319fcdd9d6627e011293ef74b8e6b32d2b1c894853

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38a29a2e7d6eefac7f311f7a36d294faba30fa4118abac76df57b09a74f4494b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-29T15:25:08Z",
    "title_canon_sha256": "dc053dd92e3415d15afe8c8b7d454067b23a30f6934ff559f1b4ab280a0882b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5969",
    "kind": "arxiv",
    "version": 1
  }
}