Pith Number

pith:MMUAPSK7

pith:2015:MMUAPSK7OB5QQX2V47IAUW3TRD

not attested not anchored not stored refs pending

Rigidity of fiber-preserving quasisymmetric maps

Enrico Le Donne, Xiangdong Xie

arxiv:1501.02391 v1 · 2015-01-10 · math.MG · 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{MMUAPSK7OB5QQX2V47IAUW3TRD}

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	2026-05-18T02:29:38.083731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

632807c95f707b085f55e7d00a5b7388ef01090d081abedc1b0846c2e25ce5ba

Aliases

arxiv: 1501.02391 · arxiv_version: 1501.02391v1 · doi: 10.48550/arxiv.1501.02391 · pith_short_12: MMUAPSK7OB5Q · pith_short_16: MMUAPSK7OB5QQX2V · pith_short_8: MMUAPSK7

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/MMUAPSK7OB5QQX2V47IAUW3TRD \
  | 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: 632807c95f707b085f55e7d00a5b7388ef01090d081abedc1b0846c2e25ce5ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c58dc9a268dea899936d1c345dbe834ba8593b349dc25238a37c451d83f6674",
    "cross_cats_sorted": [
      "math.CV",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-01-10T21:00:19Z",
    "title_canon_sha256": "788b8897fe6cacf665720863d8414e8edd69826e1f56ef52ae7857f04e502244"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02391",
    "kind": "arxiv",
    "version": 1
  }
}