Pith Number

pith:7CSFP7YQ

pith:2013:7CSFP7YQXPR643FWYK3MSGMDGZ

not attested not anchored not stored refs pending

A note on tamed Euler approximations

Sotirios Sabanis

arxiv:1303.5504 v3 · 2013-03-22 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7CSFP7YQXPR643FWYK3MSGMDGZ}

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	2026-05-18T03:20:58.328438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8a457ff10bbe3ee6cb6c2b6c919833661de028c6dd4789fa938723219baff2d

Aliases

arxiv: 1303.5504 · arxiv_version: 1303.5504v3 · doi: 10.48550/arxiv.1303.5504 · pith_short_12: 7CSFP7YQXPR6 · pith_short_16: 7CSFP7YQXPR643FW · pith_short_8: 7CSFP7YQ

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/7CSFP7YQXPR643FWYK3MSGMDGZ \
  | 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: f8a457ff10bbe3ee6cb6c2b6c919833661de028c6dd4789fa938723219baff2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b5d6277bcfbee5d6c74b35c1599f0d7743dbcecc66f5f55f6844fb1ac3e008d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-03-22T02:49:53Z",
    "title_canon_sha256": "aab038f580565fbcf03683340290267c2c3d623b504ab14c79596072ad91d7d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5504",
    "kind": "arxiv",
    "version": 3
  }
}