Pith Number

pith:IPTDCUV7

pith:2015:IPTDCUV7IN6GWQAC2DF74KTTA2

not attested not anchored not stored refs pending

Productivity Index for Darcy and pre-/post-Darcy Flow (Analytical Approach)

Akif Ibragimov, Fahd Siddiqui, Lidia Bloshanskaya, Mohamed Y. Soliman

arxiv:1512.06971 v1 · 2015-12-22 · 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{IPTDCUV7IN6GWQAC2DF74KTTA2}

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	2026-05-18T01:23:53.280362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43e63152bf437c6b4002d0cbfe2a73068a8ae83beb240290b82339f000a297c4

Aliases

arxiv: 1512.06971 · arxiv_version: 1512.06971v1 · doi: 10.48550/arxiv.1512.06971 · pith_short_12: IPTDCUV7IN6G · pith_short_16: IPTDCUV7IN6GWQAC · pith_short_8: IPTDCUV7

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/IPTDCUV7IN6GWQAC2DF74KTTA2 \
  | 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: 43e63152bf437c6b4002d0cbfe2a73068a8ae83beb240290b82339f000a297c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d4cd9c8ad2aedd078e324e4ee8438a9c4f2c2097a48018d5942001d68649fcf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-22T06:56:43Z",
    "title_canon_sha256": "e0a787ecb0c60453fdf032de94ae88e57d702b9662efef780daebb87118b7fee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06971",
    "kind": "arxiv",
    "version": 1
  }
}