Pith Number

pith:X5UOMUR5

pith:2016:X5UOMUR5RD4OTOEELR25UCJFDI

not attested not anchored not stored refs pending

Lie point symmetry analysis of a second order differential equation with singularity

F. G\"ung\"or, P.J. Torres

arxiv:1612.07080 v3 · 2016-12-21 · nlin.SI · 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{X5UOMUR5RD4OTOEELR25UCJFDI}

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	2026-05-18T00:48:09.335134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf68e6523d88f8e9b8845c75da09251a3615af6cc5272e7108c79f7b392c20c0

Aliases

arxiv: 1612.07080 · arxiv_version: 1612.07080v3 · doi: 10.48550/arxiv.1612.07080 · pith_short_12: X5UOMUR5RD4O · pith_short_16: X5UOMUR5RD4OTOEE · pith_short_8: X5UOMUR5

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/X5UOMUR5RD4OTOEELR25UCJFDI \
  | 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: bf68e6523d88f8e9b8845c75da09251a3615af6cc5272e7108c79f7b392c20c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa548cdf89cad4da4c6979b883db9fd9cd884fe44f4751727402b125d1b4a8a9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2016-12-21T12:51:45Z",
    "title_canon_sha256": "f4219aae51625f90f9940a4ee6b26fb95cbb5687606341d51d82f4bed35e12ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07080",
    "kind": "arxiv",
    "version": 3
  }
}