Pith Number

pith:64DWXVCP

pith:2007:64DWXVCPM5LX53XFAO5IP6IRQR

not attested not anchored not stored refs pending

Group Analysis of Variable Coefficient Diffusion-Convection Equations. I. Enhanced Group Classification

C. Sophocleous, N.M. Ivanova, R.O. Popovych

arxiv:0710.2731 v2 · 2007-10-15 · math-ph · math.AP · 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{64DWXVCPM5LX53XFAO5IP6IRQR}

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	2026-05-18T04:37:22.421141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7076bd44f67577eeee503ba87f9118466862b72e450140e43752fb90a5a61b9

Aliases

arxiv: 0710.2731 · arxiv_version: 0710.2731v2 · doi: 10.48550/arxiv.0710.2731 · pith_short_12: 64DWXVCPM5LX · pith_short_16: 64DWXVCPM5LX53XF · pith_short_8: 64DWXVCP

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/64DWXVCPM5LX53XFAO5IP6IRQR \
  | 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: f7076bd44f67577eeee503ba87f9118466862b72e450140e43752fb90a5a61b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe5516d821a1942d0a45cae0ca302ecb5e373ed19d033b26a475166c44b4cf08",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2007-10-15T08:01:09Z",
    "title_canon_sha256": "bfed7ba8d86e979bc0a550eb9c2a3ba5d437b3f0589fca0a4e10549a295720f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.2731",
    "kind": "arxiv",
    "version": 2
  }
}