pith. sign in
Pith Number

pith:R2KHMOVP

pith:2011:R2KHMOVPL4JBEBQY4FWI2ESLKT
not attested not anchored not stored refs pending

Real valued functions and metric spaces quasi-isometric to trees

\'Alvaro Mart\'inez-P\'erez

arxiv:1103.5908 v1 · 2011-03-30 · math.GT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{R2KHMOVPL4JBEBQY4FWI2ESLKT}

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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 2026-05-18T04:25:27.225122Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8e94763aaf5f12120618e16c8d124b54e90138fe8f2f4bca06fb44835d072240

Aliases

arxiv: 1103.5908 · arxiv_version: 1103.5908v1 · doi: 10.48550/arxiv.1103.5908 · pith_short_12: R2KHMOVPL4JB · pith_short_16: R2KHMOVPL4JBEBQY · pith_short_8: R2KHMOVP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/R2KHMOVPL4JBEBQY4FWI2ESLKT \
  | 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: 8e94763aaf5f12120618e16c8d124b54e90138fe8f2f4bca06fb44835d072240
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "38b5d404e3c4be5f5572f1da190c0c36786430cb18c41ec40c56278c8d7d411c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-03-30T12:39:55Z",
    "title_canon_sha256": "62d65997cb84b93b6eeb5ee9e6c4d9748acace12ae153c9dc5f5467c20da8c9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5908",
    "kind": "arxiv",
    "version": 1
  }
}