Pith Number

pith:PJYZB7JZ

pith:2016:PJYZB7JZOL3BDOLPA3PGU2SPSG

not attested not anchored not stored refs pending

Singularly perturbed hyperbolic problems on metric graphs: asymptotics of solutions

Volodymyr Flyud, Yuriy Golovaty

arxiv:1610.06324 v3 · 2016-10-20 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJYZB7JZOL3BDOLPA3PGU2SPSG}

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	2026-05-18T00:46:16.122167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a7190fd3972f611b96f06de6a6a4f919f8cd1ca77f6d45a1078e02c17440723

Aliases

arxiv: 1610.06324 · arxiv_version: 1610.06324v3 · doi: 10.48550/arxiv.1610.06324 · pith_short_12: PJYZB7JZOL3B · pith_short_16: PJYZB7JZOL3BDOLP · pith_short_8: PJYZB7JZ

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/PJYZB7JZOL3BDOLPA3PGU2SPSG \
  | 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: 7a7190fd3972f611b96f06de6a6a4f919f8cd1ca77f6d45a1078e02c17440723

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b497376fb2f339189828e916c0017d0733fe149ae1b09bc1813083f5147f5139",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-20T08:28:57Z",
    "title_canon_sha256": "6f36c2af22c6182916391ef4673dd2388a32beb6c26900ebe2a4db659fd3a45f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06324",
    "kind": "arxiv",
    "version": 3
  }
}