Pith Number

pith:2NPN6JE3

pith:2021:2NPN6JE3KY2PDX6RJSZYUYIIDH

not attested not anchored not stored refs pending

Structural descriptions of limits of the parabolic Ginzburg-Landau equation on closed manifolds

Andrew Colinet

arxiv:2107.13582 v1 · 2021-07-28 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2NPN6JE3KY2PDX6RJSZYUYIIDH}

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	2026-07-05T03:01:37.920413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d35edf249b5634f1dfd14cb38a610819ec0663700d8e23b9e8e8be76d33d56d3

Aliases

arxiv: 2107.13582 · arxiv_version: 2107.13582v1 · doi: 10.48550/arxiv.2107.13582 · pith_short_12: 2NPN6JE3KY2P · pith_short_16: 2NPN6JE3KY2PDX6R · pith_short_8: 2NPN6JE3

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/2NPN6JE3KY2PDX6RJSZYUYIIDH \
  | 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: d35edf249b5634f1dfd14cb38a610819ec0663700d8e23b9e8e8be76d33d56d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83e8336fe44c249f3759fb0ec17dfd85e3c89871622c6f3110866a00815c51de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-07-28T18:04:15Z",
    "title_canon_sha256": "10e4d906af785f195ea74c17846f0bf5497b7d9cce19f1399e03f8fb403e5b2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.13582",
    "kind": "arxiv",
    "version": 1
  }
}