Pith Number

pith:6CPEM7Y5

pith:2016:6CPEM7Y572SCZ5LCL2MBVZSA4S

not attested not anchored not stored refs pending

A note on the nonexistence of quasi-harmonic spheres

Jiayu Li, Linlin Sun

arxiv:1604.02696 v2 · 2016-04-10 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6CPEM7Y572SCZ5LCL2MBVZSA4S}

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	2026-05-18T01:16:32.701995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f09e467f1dfea42cf5625e981ae640e4bd36a2791c98aaa73533c55427654d74

Aliases

arxiv: 1604.02696 · arxiv_version: 1604.02696v2 · doi: 10.48550/arxiv.1604.02696 · pith_short_12: 6CPEM7Y572SC · pith_short_16: 6CPEM7Y572SCZ5LC · pith_short_8: 6CPEM7Y5

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/6CPEM7Y572SCZ5LCL2MBVZSA4S \
  | 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: f09e467f1dfea42cf5625e981ae640e4bd36a2791c98aaa73533c55427654d74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d51ba3400de78939923011505df3b7a05d55c839113d44102f8f7ff470d10aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-04-10T14:37:00Z",
    "title_canon_sha256": "9cf1cf57bfcd56d44db1d61eec380465c3eb940c5188c8340d9b35fdef69ab5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02696",
    "kind": "arxiv",
    "version": 2
  }
}