Pith Number

pith:UZPIMWCJ

pith:2026:UZPIMWCJU63BIK7WO3XVRQ455O

not attested not anchored not stored refs pending

Dynamical Systems as Functorial Realisations of Abstract Evolution Shapes

Bangxin Wang

arxiv:2607.17455 v1 · 2026-07-20 · math.CT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UZPIMWCJU63BIK7WO3XVRQ455O}

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	2026-07-21T01:21:33.727897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a65e865849a7b6142bf676ef58c39deb83e3362ee7a2f29c0da9b2693ca6c413

Aliases

arxiv: 2607.17455 · arxiv_version: 2607.17455v1 · doi: 10.48550/arxiv.2607.17455 · pith_short_12: UZPIMWCJU63B · pith_short_16: UZPIMWCJU63BIK7W · pith_short_8: UZPIMWCJ

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/UZPIMWCJU63BIK7WO3XVRQ455O \
  | 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: a65e865849a7b6142bf676ef58c39deb83e3362ee7a2f29c0da9b2693ca6c413

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2605a28640f20d881bfbf3ff6e2527c7f0a68358ab521704df40af7b4d6522db",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2026-07-20T01:06:04Z",
    "title_canon_sha256": "f258afd8430376ca6cd9c41c2c1c346ecc73f09a0b17196611f7cdad2194d4f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17455",
    "kind": "arxiv",
    "version": 1
  }
}