Pith Number

pith:IKK5AIXX

pith:2011:IKK5AIXXT7MDWQDW53B6HLLDCM

not attested not anchored not stored refs pending

Exponential Decay of Expansive Constants

Peng Sun

arxiv:1101.0851 v1 · 2011-01-04 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IKK5AIXXT7MDWQDW53B6HLLDCM}

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	2026-05-18T04:32:01.336482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4295d022f79fd83b4076eec3e3ad6313066a430390280255167dac98003a4078

Aliases

arxiv: 1101.0851 · arxiv_version: 1101.0851v1 · doi: 10.48550/arxiv.1101.0851 · pith_short_12: IKK5AIXXT7MD · pith_short_16: IKK5AIXXT7MDWQDW · pith_short_8: IKK5AIXX

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/IKK5AIXXT7MDWQDW53B6HLLDCM \
  | 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: 4295d022f79fd83b4076eec3e3ad6313066a430390280255167dac98003a4078

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f463d3c63e9d2aad1ae6d7a648d00860007ba9a77e2dbe4ba3de1b135e172be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-01-04T23:27:31Z",
    "title_canon_sha256": "ad710f92ef0b21c58e26a128fe560cb298a278832c10ee3ca7cf3bafd8312306"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0851",
    "kind": "arxiv",
    "version": 1
  }
}