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Pith Number

pith:M2FWFNF3

pith:2015:M2FWFNF3KG7Q5U433IXYNMNSBN
not attested not anchored not stored refs pending

Thermal interaction between free convection and forced convection along a vertical conducting wall

I. Pop, Jian-Jun Shu

arxiv:1509.03757 v1 · 2015-09-12 · physics.flu-dyn

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{M2FWFNF3KG7Q5U433IXYNMNSBN}

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 2026-05-18T01:33:14.617615Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

668b62b4bb51bf0ed39bda2f86b1b20b764a4a7c70df05dbc7d3407aa6089439

Aliases

arxiv: 1509.03757 · arxiv_version: 1509.03757v1 · doi: 10.48550/arxiv.1509.03757 · pith_short_12: M2FWFNF3KG7Q · pith_short_16: M2FWFNF3KG7Q5U43 · pith_short_8: M2FWFNF3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/M2FWFNF3KG7Q5U433IXYNMNSBN \
  | 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: 668b62b4bb51bf0ed39bda2f86b1b20b764a4a7c70df05dbc7d3407aa6089439
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2d76e7cd8b52256fad747de7c9cee1ed30eb71ed29ea94674ff6bbc9d53c90b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2015-09-12T16:05:10Z",
    "title_canon_sha256": "185c1eeed454ba142d06d5d08abac38d7f5b32abe8e6dfbba48ce17221e9bf5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03757",
    "kind": "arxiv",
    "version": 1
  }
}