Pith Number

pith:HS6J5KN7

pith:2019:HS6J5KN7NJLFGSOZUKLXW2OHWI

not attested not anchored not stored refs pending

Global existence for a phase separation system deduced from the entropy balance

Pierluigi Colli, Shunsuke Kurima

arxiv:1901.10158 v1 · 2019-01-29 · 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{HS6J5KN7NJLFGSOZUKLXW2OHWI}

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	2026-05-17T23:55:16.002817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cbc9ea9bf6a565349d9a2977b69c7b20e9fc9b9b13ef545f12167b979b164dd

Aliases

arxiv: 1901.10158 · arxiv_version: 1901.10158v1 · doi: 10.48550/arxiv.1901.10158 · pith_short_12: HS6J5KN7NJLF · pith_short_16: HS6J5KN7NJLFGSOZ · pith_short_8: HS6J5KN7

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/HS6J5KN7NJLFGSOZUKLXW2OHWI \
  | 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: 3cbc9ea9bf6a565349d9a2977b69c7b20e9fc9b9b13ef545f12167b979b164dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c51a7557b9d6ee7a4754cfbcd7e5df7e0584553da1490c8e27d567b47559b339",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-29T08:20:17Z",
    "title_canon_sha256": "991f81d199ad9f858fe5af1f00254cecfe21666e24e32dd5fa05b6565936bfc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.10158",
    "kind": "arxiv",
    "version": 1
  }
}