Pith Number

pith:S2PU5O2L

pith:2015:S2PU5O2LABGH2G4DNXYXXFF3LZ

not attested not anchored not stored refs pending

On a nonlocal extension of differentiation

Ravi Shankar

arxiv:1509.05097 v2 · 2015-09-17 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S2PU5O2LABGH2G4DNXYXXFF3LZ}

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	2026-05-18T01:18:49.175796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

969f4ebb4b004c7d1b836df17b94bb5e7b2be43e65a20cffb2342452355610cc

Aliases

arxiv: 1509.05097 · arxiv_version: 1509.05097v2 · doi: 10.48550/arxiv.1509.05097 · pith_short_12: S2PU5O2LABGH · pith_short_16: S2PU5O2LABGH2G4D · pith_short_8: S2PU5O2L

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/S2PU5O2LABGH2G4DNXYXXFF3LZ \
  | 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: 969f4ebb4b004c7d1b836df17b94bb5e7b2be43e65a20cffb2342452355610cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce814dd94ed52611635b8986104a7488ae44f3438b856f5f7ca0d2b5b49ba1c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-17T01:42:37Z",
    "title_canon_sha256": "8fd1a9723cbe666eaaed208f6268dbc2e6b0cbd1498e77c58efd18414e0ce128"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05097",
    "kind": "arxiv",
    "version": 2
  }
}