Pith Number

pith:T6SGJDAY

pith:2013:T6SGJDAY4FOVZN25O7X2MT5ZSP

not attested not anchored not stored refs pending

Discretized fractional substantial calculus

Minghua Chen, Weihua Deng

arxiv:1310.3086 v1 · 2013-10-11 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T6SGJDAY4FOVZN25O7X2MT5ZSP}

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	2026-05-18T02:26:39.340688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fa4648c18e15d5cb75d77efa64fb993ff90300525031acafea14a1c1c8841c4

Aliases

arxiv: 1310.3086 · arxiv_version: 1310.3086v1 · doi: 10.48550/arxiv.1310.3086 · pith_short_12: T6SGJDAY4FOV · pith_short_16: T6SGJDAY4FOVZN25 · pith_short_8: T6SGJDAY

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/T6SGJDAY4FOVZN25O7X2MT5ZSP \
  | 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: 9fa4648c18e15d5cb75d77efa64fb993ff90300525031acafea14a1c1c8841c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0dd864bf04bc17856529734a0f3942a314ccc8d231879050b294d33d4ba2cda",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-10-11T11:31:20Z",
    "title_canon_sha256": "f8e39c307cf62f70e0f50e42e70c6f37d82710b83c5455f9fd891716447e6f12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.3086",
    "kind": "arxiv",
    "version": 1
  }
}