Pith Number

pith:ZEE75Q7F

pith:2015:ZEE75Q7FCKLPCIM6RQKJIAGKCN

not attested not anchored not stored refs pending

A few calculus rules for chain differentials

Daniel E. Clark, Emmanuel D. Delande, Jeremie Houssineau

arxiv:1506.08626 v1 · 2015-06-29 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZEE75Q7FCKLPCIM6RQKJIAGKCN}

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	2026-05-18T01:37:43.780721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c909fec3e51296f1219e8c149400ca1340a3b3efe061dd48af9d48e76f6532c0

Aliases

arxiv: 1506.08626 · arxiv_version: 1506.08626v1 · doi: 10.48550/arxiv.1506.08626 · pith_short_12: ZEE75Q7FCKLP · pith_short_16: ZEE75Q7FCKLPCIM6 · pith_short_8: ZEE75Q7F

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/ZEE75Q7FCKLPCIM6RQKJIAGKCN \
  | 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: c909fec3e51296f1219e8c149400ca1340a3b3efe061dd48af9d48e76f6532c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b78148400fa4653fdae8acaa753de4cbeaf480233e5fc7c78b926b7addd0353",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-06-29T13:53:24Z",
    "title_canon_sha256": "f0c94d57ce0a363bf8f4d34e6defc063fba90c54858618c119ac4227af61e35b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08626",
    "kind": "arxiv",
    "version": 1
  }
}