Pith Number

pith:M2QQVAGT

pith:2016:M2QQVAGTEOHBVZBT335BGA7FNU

not attested not anchored not stored refs pending

A unified approach of blow-up phenomena for two-dimensional singular Liouville systems

Angela Pistoia, Luca Battaglia

arxiv:1607.00427 v3 · 2016-07-01 · 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{M2QQVAGTEOHBVZBT335BGA7FNU}

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	2026-05-18T01:03:32.400432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66a10a80d3238e1ae433defa1303e56d3788e92322ba44bf408fc07c93e74041

Aliases

arxiv: 1607.00427 · arxiv_version: 1607.00427v3 · doi: 10.48550/arxiv.1607.00427 · pith_short_12: M2QQVAGTEOHB · pith_short_16: M2QQVAGTEOHBVZBT · pith_short_8: M2QQVAGT

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/M2QQVAGTEOHBVZBT335BGA7FNU \
  | 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: 66a10a80d3238e1ae433defa1303e56d3788e92322ba44bf408fc07c93e74041

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f22c460dc7afaea5188ed3f304513649cbdc6244500731c9cfccf934d6ecd591",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-07-01T22:42:45Z",
    "title_canon_sha256": "f02f4ce194455cf72d190596262fa7368f5f0f9974f1173f075d883141eccefd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00427",
    "kind": "arxiv",
    "version": 3
  }
}