Pith Number

pith:TR3UZ5LP

pith:2015:TR3UZ5LPTSDKEE65SOBY7LC2TG

not attested not anchored not stored refs pending

Positive steady states of an indefinite equation with a nonlinear boundary condition: existence, multiplicity, stability and asymptotic profiles

Humberto Ramos Quoirin, Kenichiro Umezu

arxiv:1509.01753 v2 · 2015-09-06 · 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{TR3UZ5LPTSDKEE65SOBY7LC2TG}

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	2026-05-18T01:32:00.099252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c774cf56f9c86a213dd93838fac5a9999f4c0043f05e9909e8864d6e0723b8b

Aliases

arxiv: 1509.01753 · arxiv_version: 1509.01753v2 · doi: 10.48550/arxiv.1509.01753 · pith_short_12: TR3UZ5LPTSDK · pith_short_16: TR3UZ5LPTSDKEE65 · pith_short_8: TR3UZ5LP

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/TR3UZ5LPTSDKEE65SOBY7LC2TG \
  | 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: 9c774cf56f9c86a213dd93838fac5a9999f4c0043f05e9909e8864d6e0723b8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "639722ac744eb864d9d6c01f74c5b710e5b3b3564b087d2915505225138e2d37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-06T01:53:04Z",
    "title_canon_sha256": "9209f5441502d4eb6201fa8c0323434bfd8fa01c21aeadb3f01f52198bc3a271"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01753",
    "kind": "arxiv",
    "version": 2
  }
}