Pith Number

pith:MCI2DWLA

pith:2015:MCI2DWLAMIW5RLZXVNHEVZW5E7

not attested not anchored not stored refs pending

Bounds on Gromov Hyperbolicity Constant

Domingo Pestana, Jose M. Rodriguez, Veronica Hernandez

arxiv:1503.01340 v1 · 2015-03-04 · math.CO · 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{MCI2DWLAMIW5RLZXVNHEVZW5E7}

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	2026-05-18T02:25:34.757940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6091a1d960622dd8af37ab4e4ae6dd27cd68f294b72f88bb92d975d7e99b0dff

Aliases

arxiv: 1503.01340 · arxiv_version: 1503.01340v1 · doi: 10.48550/arxiv.1503.01340 · pith_short_12: MCI2DWLAMIW5 · pith_short_16: MCI2DWLAMIW5RLZX · pith_short_8: MCI2DWLA

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/MCI2DWLAMIW5RLZXVNHEVZW5E7 \
  | 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: 6091a1d960622dd8af37ab4e4ae6dd27cd68f294b72f88bb92d975d7e99b0dff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bbd8576b7e210a2ca6a4ba9d5c04e30c6d2babdcf56a0b2678334c55111e636",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-04T15:23:27Z",
    "title_canon_sha256": "e683aabb5d148f4df40cb53836f1ef5863fc7127dc0ef67445be72eb5bd5d9ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01340",
    "kind": "arxiv",
    "version": 1
  }
}