Pith Number

pith:QK2ADUGL

pith:2017:QK2ADUGLQA2SHQRHIAKGZKXYQK

not attested not anchored not stored refs pending

On the isoperimetric quotient over scalar-flat conformal classes

Jingang Xiong, Tianling Jin

arxiv:1709.03644 v2 · 2017-09-12 · math.AP · 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{QK2ADUGLQA2SHQRHIAKGZKXYQK}

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	2026-05-18T00:34:28.794587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82b401d0cb803523c22740146caaf882b1a7b1a1e49cec21eb74c67fc66d9732

Aliases

arxiv: 1709.03644 · arxiv_version: 1709.03644v2 · doi: 10.48550/arxiv.1709.03644 · pith_short_12: QK2ADUGLQA2S · pith_short_16: QK2ADUGLQA2SHQRH · pith_short_8: QK2ADUGL

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/QK2ADUGLQA2SHQRHIAKGZKXYQK \
  | 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: 82b401d0cb803523c22740146caaf882b1a7b1a1e49cec21eb74c67fc66d9732

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b87b9c1c57093f368bcf11a14ad905b40dd080caeafef8e63944a0d56ad1342",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-12T01:33:06Z",
    "title_canon_sha256": "502ee85c74192b27dabb2f0e48c9d013482e3ed5db557e1d3c257e3c416e03cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.03644",
    "kind": "arxiv",
    "version": 2
  }
}