Pith Number

pith:2C5VFAGX

pith:2013:2C5VFAGXOEAB4IAE6AJIEYHEKS

not attested not anchored not stored refs pending

Some examples of quasiisometries of nilpotent Lie groups

Xiangdong Xie

arxiv:1308.3034 v2 · 2013-08-14 · math.GR · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2C5VFAGXOEAB4IAE6AJIEYHEKS}

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	2026-05-18T02:56:51.895404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0bb5280d771001e2004f0128260e454a16e773dd9109d080c70189e2bb9eda8

Aliases

arxiv: 1308.3034 · arxiv_version: 1308.3034v2 · doi: 10.48550/arxiv.1308.3034 · pith_short_12: 2C5VFAGXOEAB · pith_short_16: 2C5VFAGXOEAB4IAE · pith_short_8: 2C5VFAGX

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/2C5VFAGXOEAB4IAE6AJIEYHEKS \
  | 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: d0bb5280d771001e2004f0128260e454a16e773dd9109d080c70189e2bb9eda8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a9f70e4fdec0a8d28374be7c0a5d30821069fc6760f7078b88c9edf60f2814a",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-08-14T05:16:48Z",
    "title_canon_sha256": "1f70717266c9ab28136d25ef6d1452acd8e8e3fa33e6678896f6c330c83711d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3034",
    "kind": "arxiv",
    "version": 2
  }
}