Pith Number

pith:5DGCJECR

pith:2007:5DGCJECRRBRFPEGTET3D4Z7MUO

not attested not anchored not stored refs pending

Quasiisometries between negatively curved Hadamard manifolds

Xiangdong Xie

arxiv:0711.1681 v1 · 2007-11-11 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5DGCJECRRBRFPEGTET3D4Z7MUO}

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	2026-05-18T02:58:12.103512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8cc24905188625790d324f63e67eca3bd39fc3625b735dbb1ebcfa64fab7199

Aliases

arxiv: 0711.1681 · arxiv_version: 0711.1681v1 · doi: 10.48550/arxiv.0711.1681 · pith_short_12: 5DGCJECRRBRF · pith_short_16: 5DGCJECRRBRFPEGT · pith_short_8: 5DGCJECR

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/5DGCJECRRBRFPEGTET3D4Z7MUO \
  | 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: e8cc24905188625790d324f63e67eca3bd39fc3625b735dbb1ebcfa64fab7199

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f1ddf9e24b10d06e8cdf287df37393b30db883f69b4b07934eeacba44316905",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2007-11-11T21:11:18Z",
    "title_canon_sha256": "fa8c34e1634a7a6eb8bd053bf96d05aa7d22a8fe462af049baa1661d219572f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.1681",
    "kind": "arxiv",
    "version": 1
  }
}