Pith Number

pith:5UHXP3U4

pith:2013:5UHXP3U4K24JR3R5IGM3Y67WMU

not attested not anchored not stored refs pending

On the uniform squeezing property and the squeezing function

Kang-Tae Kim, Liyou Zhang

arxiv:1306.2390 v1 · 2013-06-11 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5UHXP3U4K24JR3R5IGM3Y67WMU}

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	2026-05-18T03:21:21.126442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed0f77ee9c56b898ee3d4199bc7bf6652d2193b3ecd9cf18d09a199a8c848cf3

Aliases

arxiv: 1306.2390 · arxiv_version: 1306.2390v1 · doi: 10.48550/arxiv.1306.2390 · pith_short_12: 5UHXP3U4K24J · pith_short_16: 5UHXP3U4K24JR3R5 · pith_short_8: 5UHXP3U4

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/5UHXP3U4K24JR3R5IGM3Y67WMU \
  | 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: ed0f77ee9c56b898ee3d4199bc7bf6652d2193b3ecd9cf18d09a199a8c848cf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "957fda6f2c41d835d78dd4857d997bfc56705fcd9d61da87db6c9924d2e61767",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-06-11T00:41:47Z",
    "title_canon_sha256": "528a42edb998c8b47195cddb60abf1a047eda76cf39f6682bfa84b472aae6ef2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2390",
    "kind": "arxiv",
    "version": 1
  }
}