Pith Number

pith:47KGCOII

pith:2013:47KGCOIIW5O3N7XY2CNQXJZOHH

not attested not anchored not stored refs pending

Partial Lie-point symmetries of differential equations

G. Cicogna, G. Gaeta

arxiv:1309.2407 v1 · 2013-09-10 · 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{47KGCOIIW5O3N7XY2CNQXJZOHH}

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	2026-05-18T01:47:43.874731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7d4613908b75db6fef8d09b0ba72e39ecda231ccaf22be4e677fd5fde8303ee

Aliases

arxiv: 1309.2407 · arxiv_version: 1309.2407v1 · doi: 10.48550/arxiv.1309.2407 · pith_short_12: 47KGCOIIW5O3 · pith_short_16: 47KGCOIIW5O3N7XY · pith_short_8: 47KGCOII

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/47KGCOIIW5O3N7XY2CNQXJZOHH \
  | 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: e7d4613908b75db6fef8d09b0ba72e39ecda231ccaf22be4e677fd5fde8303ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96b326b6698aed9fa686f7f20fa732630b74430b1dccd19ffbdf738b68173837",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-09-10T08:24:51Z",
    "title_canon_sha256": "17861c59e918b324416b551852d88a91604d6de0938a50c4ce09e9f96f07e7df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2407",
    "kind": "arxiv",
    "version": 1
  }
}