Pith Number

pith:JCZCSV3T

pith:2016:JCZCSV3TLX7OFD3WZC57DHN34I

not attested not anchored not stored refs pending

Differential calculus over N-graded commutative rings

G. Sardanashvily, W. Wachowski

arxiv:1605.07115 v1 · 2016-05-23 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JCZCSV3TLX7OFD3WZC57DHN34I}

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	2026-05-18T01:14:09.902427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48b22957735dfee28f76c8bbf19dbbe20d38e204fe577fe1269b11c4707b0fc0

Aliases

arxiv: 1605.07115 · arxiv_version: 1605.07115v1 · doi: 10.48550/arxiv.1605.07115 · pith_short_12: JCZCSV3TLX7O · pith_short_16: JCZCSV3TLX7OFD3W · pith_short_8: JCZCSV3T

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/JCZCSV3TLX7OFD3WZC57DHN34I \
  | 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: 48b22957735dfee28f76c8bbf19dbbe20d38e204fe577fe1269b11c4707b0fc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "947da73048025c3432a8e68f17142239ed0ea6b4392bf7ae4992b690a55b3283",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-05-23T17:44:44Z",
    "title_canon_sha256": "10dc4879e06c70d3b4e97b7adaf8df5ea34d8e4b98e87c535317f878622c7146"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.07115",
    "kind": "arxiv",
    "version": 1
  }
}