Pith Number

pith:I2AAE2KE

pith:2018:I2AAE2KEJBAAQES7FQZQ4T7XML

not attested not anchored not stored refs pending

Approximate conditions admitted by classes of the Lagrangian ${\cal L}=\frac12\left(-u'^2+u^2\right)+\epsilon^iG_i(u, u^\prime, u^{\prime\prime})$

Nkosingiphile Mnguni, Sameerah Jamal

arxiv:1804.08283 v1 · 2018-04-23 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I2AAE2KEJBAAQES7FQZQ4T7XML}

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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	2026-05-18T00:17:48.923160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4680026944484008125f2c330e4ff762da5ea0a2bf4f67a94f8694b9645ad230

Aliases

arxiv: 1804.08283 · arxiv_version: 1804.08283v1 · doi: 10.48550/arxiv.1804.08283 · pith_short_12: I2AAE2KEJBAA · pith_short_16: I2AAE2KEJBAAQES7 · pith_short_8: I2AAE2KE

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/I2AAE2KEJBAAQES7FQZQ4T7XML \
  | 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: 4680026944484008125f2c330e4ff762da5ea0a2bf4f67a94f8694b9645ad230

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce5c670c93de9f66af98609fe5faa8687f0d72ef3432992ac14a3d4073568d9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-04-23T08:40:45Z",
    "title_canon_sha256": "1c2867ad4df7cd177ef39c263b4682d4926ad4c74919a57b644a5d49bce06f1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.08283",
    "kind": "arxiv",
    "version": 1
  }
}