Pith Number

pith:QM6DX7YF

pith:2015:QM6DX7YFWTTCLBPCQ7MFX4TKRR

not attested not anchored not stored refs pending

Global existence of solutions for a multi-phase flow: a bubble in a liquid tube and related cases

Andrea Corli, Debora Amadori, Edda Dal Santo, Paolo Baiti

arxiv:1509.02766 v1 · 2015-09-09 · 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{QM6DX7YFWTTCLBPCQ7MFX4TKRR}

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	2026-05-18T01:33:33.300429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

833c3bff05b4e62585e287d85bf26a8c5fb732437595de2b079236d68ded1caf

Aliases

arxiv: 1509.02766 · arxiv_version: 1509.02766v1 · doi: 10.48550/arxiv.1509.02766 · pith_short_12: QM6DX7YFWTTC · pith_short_16: QM6DX7YFWTTCLBPC · pith_short_8: QM6DX7YF

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/QM6DX7YFWTTCLBPCQ7MFX4TKRR \
  | 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: 833c3bff05b4e62585e287d85bf26a8c5fb732437595de2b079236d68ded1caf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95528b8f22cbe23e254f0f0f178d489acbd0ae8c5cf93113e44a1de9da5e1779",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-09T13:18:53Z",
    "title_canon_sha256": "8dd89a5d69612166bb7d2729326826d13144c1efceb666f368fa6490d56680f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02766",
    "kind": "arxiv",
    "version": 1
  }
}