Pith Number

pith:V3RULBKH

pith:2025:V3RULBKH2ZVQBD5I4OTH37L7FO

not attested not anchored not stored refs pending

Displacement of three-phase flow for Heavy Oil: Riemann Solutions

De Souza Aparecido, Furtado Frederico, Luis Fernando Lozano, Marchesin Dan

arxiv:2506.09077 v1 · 2025-06-10 · math.AP · math-ph · math.MP · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V3RULBKH2ZVQBD5I4OTH37L7FO}

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	2026-07-05T11:19:31.141794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aee3458547d66b008fa8e3a67dfd7f2bb30a744d73b46c0b38190d6a388ed1b2

Aliases

arxiv: 2506.09077 · arxiv_version: 2506.09077v1 · doi: 10.48550/arxiv.2506.09077 · pith_short_12: V3RULBKH2ZVQ · pith_short_16: V3RULBKH2ZVQBD5I · pith_short_8: V3RULBKH

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/V3RULBKH2ZVQBD5I4OTH37L7FO \
  | 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: aee3458547d66b008fa8e3a67dfd7f2bb30a744d73b46c0b38190d6a388ed1b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58b0149914eae78ff8617f3ec973a2667de69860b0fe1334ae28b7230743a832",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.flu-dyn"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-10T02:57:28Z",
    "title_canon_sha256": "b8f5b4869aa707843253651852d79bf516404d65768f98231577d76b435f5a49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.09077",
    "kind": "arxiv",
    "version": 1
  }
}