Pith Number

pith:PLVJJFBB

pith:2013:PLVJJFBBHGA4DQAW2BAGWWDB6L

not attested not anchored not stored refs pending

Quasiconformal maps on non-rigid Carnot groups

Xiangdong Xie

arxiv:1308.3031 v1 · 2013-08-14 · math.CV · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PLVJJFBBHGA4DQAW2BAGWWDB6L}

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	2026-05-18T03:15:56.835567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7aea9494213981c1c016d0406b5861f2cec59a552bfdb437c759fec3deedaa09

Aliases

arxiv: 1308.3031 · arxiv_version: 1308.3031v1 · doi: 10.48550/arxiv.1308.3031 · pith_short_12: PLVJJFBBHGA4 · pith_short_16: PLVJJFBBHGA4DQAW · pith_short_8: PLVJJFBB

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/PLVJJFBBHGA4DQAW2BAGWWDB6L \
  | 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: 7aea9494213981c1c016d0406b5861f2cec59a552bfdb437c759fec3deedaa09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d013fbe65c2db20b0f2f4d972c7f74d43bc40de5ec2e9b0f6d13aa6b661fe17c",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-08-14T04:45:33Z",
    "title_canon_sha256": "6bf0b0c1f77043b137e12a98d77fe84db6ffbe04652b48fd30a1d004638fa7b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3031",
    "kind": "arxiv",
    "version": 1
  }
}