Pith Number

pith:6PQFV57L

pith:2012:6PQFV57LG6TWUDFK5WWOMMUKE6

not attested not anchored not stored refs pending

Heat transfer in a medium in which many small particles are embedded

A. G. Ramm

arxiv:1207.0565 v1 · 2012-07-03 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6PQFV57LG6TWUDFK5WWOMMUKE6}

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	2026-05-18T03:51:57.741371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3e05af7eb37a76a0caaedace6328a27b3c1d00bfbc9ab47c85303ec5a79ab83

Aliases

arxiv: 1207.0565 · arxiv_version: 1207.0565v1 · doi: 10.48550/arxiv.1207.0565 · pith_short_12: 6PQFV57LG6TW · pith_short_16: 6PQFV57LG6TWUDFK · pith_short_8: 6PQFV57L

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/6PQFV57LG6TWUDFK5WWOMMUKE6 \
  | 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: f3e05af7eb37a76a0caaedace6328a27b3c1d00bfbc9ab47c85303ec5a79ab83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f90d7d746f817d4dd821fecd5e61a21d3cbc981a8a2fb631c3291b23a7f9c3de",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-07-03T02:37:34Z",
    "title_canon_sha256": "0109c4e63accb61ef2732ef93f11a7b24e6fdba1947a6ed3061e3f2bea0433cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0565",
    "kind": "arxiv",
    "version": 1
  }
}