Pith Number

pith:EYTJU5QD

pith:2013:EYTJU5QD2RWFCYGMOWMXI3XZ5V

not attested not anchored not stored refs pending

Isoparametric functions on exotic spheres

Chao Qian, Zizhou Tang

arxiv:1303.6028 v2 · 2013-03-25 · math.DG · 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{EYTJU5QD2RWFCYGMOWMXI3XZ5V}

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	2026-05-18T02:30:32.658974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26269a7603d46c5160cc7599746ef9ed51fc0ebac23797c55b8a388e46134549

Aliases

arxiv: 1303.6028 · arxiv_version: 1303.6028v2 · doi: 10.48550/arxiv.1303.6028 · pith_short_12: EYTJU5QD2RWF · pith_short_16: EYTJU5QD2RWFCYGM · pith_short_8: EYTJU5QD

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/EYTJU5QD2RWFCYGMOWMXI3XZ5V \
  | 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: 26269a7603d46c5160cc7599746ef9ed51fc0ebac23797c55b8a388e46134549

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cc5b14eb713595755a86289abb9bb0e7c8c56a3335521b58442bac9254af9d2",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-03-25T04:50:43Z",
    "title_canon_sha256": "58347f0483b4e694f9a32c6826e28e234452c5f65dad22422c04bff2b65d90b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6028",
    "kind": "arxiv",
    "version": 2
  }
}