Pith Number

pith:LPHNZZ3I

pith:2015:LPHNZZ3IWWHIKSYJTHFGY5ETPR

not attested not anchored not stored refs pending

Gradient systems on coupled cell networks

Mark Roberts, Miriam Manoel

arxiv:1502.01316 v1 · 2015-02-04 · 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{LPHNZZ3IWWHIKSYJTHFGY5ETPR}

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	2026-05-18T01:31:45.733364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bcedce768b58e854b0999ca6c74937c641a8810b36b6ea564350869dec25a41

Aliases

arxiv: 1502.01316 · arxiv_version: 1502.01316v1 · doi: 10.48550/arxiv.1502.01316 · pith_short_12: LPHNZZ3IWWHI · pith_short_16: LPHNZZ3IWWHIKSYJ · pith_short_8: LPHNZZ3I

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/LPHNZZ3IWWHIKSYJTHFGY5ETPR \
  | 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: 5bcedce768b58e854b0999ca6c74937c641a8810b36b6ea564350869dec25a41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "591517794a05af3bed97e373e29bf305007b1bdee33b0eda78db7ea1d8adb0af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-02-04T20:12:02Z",
    "title_canon_sha256": "7874609a7cf6625d241844d216c025628626e3055ce7798e429a4349fc028a6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01316",
    "kind": "arxiv",
    "version": 1
  }
}