Pith Number

pith:YW2DOLBS

pith:2024:YW2DOLBSVRZA6DPREGQE33H3RI

not attested not anchored not stored refs pending

Structure of undercompressive shock waves in three-phase flow in porous media

B. J. Plohr, D. Marchesin, I. Ledoino, L. F. Lozano

arxiv:2412.04439 v1 · 2024-12-05 · 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{YW2DOLBSVRZA6DPREGQE33H3RI}

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.

Cited by

1 paper in Pith

The Riemann problem for three-phase foam flow in porous media

Receipt and verification

First computed	2026-07-05T09:45:03.909735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5b4372c32ac720f0df121a04decfb8a29a07a636f9d1f2a6cd14e494889b046

Aliases

arxiv: 2412.04439 · arxiv_version: 2412.04439v1 · doi: 10.48550/arxiv.2412.04439 · pith_short_12: YW2DOLBSVRZA · pith_short_16: YW2DOLBSVRZA6DPR · pith_short_8: YW2DOLBS

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/YW2DOLBSVRZA6DPREGQE33H3RI \
  | 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: c5b4372c32ac720f0df121a04decfb8a29a07a636f9d1f2a6cd14e494889b046

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e0918530c308d2f6cd9b2c86dc5971aaf568130ee841c27b05cb165f55607c6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-05T18:55:39Z",
    "title_canon_sha256": "fa30c21c9b64844b70881d860bae07a314ea55f25bd22a527c1506ed964aea67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.04439",
    "kind": "arxiv",
    "version": 1
  }
}