Pith Number

pith:V4BAZXC2

pith:2006:V4BAZXC2N5TEKPVJGMKTIKI2UU

not attested not anchored not stored refs pending

Increasing efficiency through optimal RK time integration of diffusion equations

Fausto Cavalli, Gabriella Puppo, Giovanni Naldi, Matteo Semplice

arxiv:math/0612239 v1 · 2006-12-09 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V4BAZXC2N5TEKPVJGMKTIKI2UU}

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	2026-06-03T22:06:21.532408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af020cdc5a6f66453ea9331534291aa5080dce520481a3938f5aaabba77dd7a4

Aliases

arxiv: math/0612239 · arxiv_version: math/0612239v1 · doi: 10.48550/arxiv.math/0612239 · pith_short_12: V4BAZXC2N5TE · pith_short_16: V4BAZXC2N5TEKPVJ · pith_short_8: V4BAZXC2

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/V4BAZXC2N5TEKPVJGMKTIKI2UU \
  | 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: af020cdc5a6f66453ea9331534291aa5080dce520481a3938f5aaabba77dd7a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaa1b25597e95fdda9d1ad753059070e4dbcaca1429dfb375af83b525dfc49f6",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "",
    "primary_cat": "math.NA",
    "submitted_at": "2006-12-09T16:45:05Z",
    "title_canon_sha256": "40256a0b3c08bb9002a260139ef1fc0e499b5caf32387274255f1a91d8b63af3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612239",
    "kind": "arxiv",
    "version": 1
  }
}