Pith Number

pith:S5ZCR52F

pith:2011:S5ZCR52FGJUL3766J3R4VC2EXB

not attested not anchored not stored refs pending

Some Consequences of the Shadowing Property in Low Dimensions

Andres Koropecki, Enrique R. Pujals

arxiv:1109.5074 v2 · 2011-09-23 · 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{S5ZCR52FGJUL3766J3R4VC2EXB}

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	2026-05-17T23:53:19.209178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

977228f7453268bdffde4ee3ca8b44b870cf47c3a771d087bd458f0ba9350f6a

Aliases

arxiv: 1109.5074 · arxiv_version: 1109.5074v2 · doi: 10.48550/arxiv.1109.5074 · pith_short_12: S5ZCR52FGJUL · pith_short_16: S5ZCR52FGJUL3766 · pith_short_8: S5ZCR52F

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/S5ZCR52FGJUL3766J3R4VC2EXB \
  | 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: 977228f7453268bdffde4ee3ca8b44b870cf47c3a771d087bd458f0ba9350f6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcb10d0f914dd742cf8af9e77b5cd4a136365549b049d050e0d0daa1bb121f76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-09-23T13:43:09Z",
    "title_canon_sha256": "1718349449d565d33518c85d5f502ba21733ac629e6770c489458612fde6f9fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5074",
    "kind": "arxiv",
    "version": 2
  }
}