Pith Number

pith:ECXRA2GU

pith:2011:ECXRA2GU736QCWYMR5GND356JQ

not attested not anchored not stored refs pending

Extensions of Noether's Second Theorem: from continuous to discrete systems

Elizabeth L. Mansfield, Peter E. Hydon

arxiv:1103.3267 v1 · 2011-03-09 · 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{ECXRA2GU736QCWYMR5GND356JQ}

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	2026-05-18T02:02:50.663851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20af1068d4fefd015b0c8f4cd1efbe4c1a5dfd7be33edf6ff107311b466e16bc

Aliases

arxiv: 1103.3267 · arxiv_version: 1103.3267v1 · doi: 10.48550/arxiv.1103.3267 · pith_short_12: ECXRA2GU736Q · pith_short_16: ECXRA2GU736QCWYM · pith_short_8: ECXRA2GU

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/ECXRA2GU736QCWYMR5GND356JQ \
  | 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: 20af1068d4fefd015b0c8f4cd1efbe4c1a5dfd7be33edf6ff107311b466e16bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e9c72f2b261b193a56ec2adabdcec33739974ca58c4798f9c17c47352b2f141",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-03-09T23:02:18Z",
    "title_canon_sha256": "6b1db9745aa0c352531b7edb93a6301b866580c49a1bf6aa45476f9a7a077388"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3267",
    "kind": "arxiv",
    "version": 1
  }
}