Pith Number

pith:J3S44CI3

pith:2015:J3S44CI3CMVOVFAVVTL7LRJHGI

not attested not anchored not stored refs pending

The steady states of coupled dynamical systems compose according to matrix arithmetic

David I. Spivak

arxiv:1512.00802 v2 · 2015-12-02 · math.DS · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J3S44CI3CMVOVFAVVTL7LRJHGI}

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	2026-05-18T01:20:06.319412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ee5ce091b132aea9415acd7f5c52732136fd6f33b413d4afbbfbb9622aee9d5

Aliases

arxiv: 1512.00802 · arxiv_version: 1512.00802v2 · doi: 10.48550/arxiv.1512.00802 · pith_short_12: J3S44CI3CMVO · pith_short_16: J3S44CI3CMVOVFAV · pith_short_8: J3S44CI3

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/J3S44CI3CMVOVFAVVTL7LRJHGI \
  | 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: 4ee5ce091b132aea9415acd7f5c52732136fd6f33b413d4afbbfbb9622aee9d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43ed80223fe8e023027821bd126b3a9d10854478b75980c5a4fe9856b0e695e8",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-12-02T18:34:35Z",
    "title_canon_sha256": "34dacc2f058499eb94d38a5c3789039c01235fd408ee2d7609d567aad9353def"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00802",
    "kind": "arxiv",
    "version": 2
  }
}